Authors and papers citing work by Lee Rudolph

[Last updated January 4, 2009.]

S. S. Abhyankar and A. Sathaye

[1996] Uniqueness of plane embeddings of special curves, Proc. Amer. Math. Soc. 124 (1996), 1061-1069. {Cites [Rudolph 1982].}

Selman Akbulut and Rostislav Matveyev

[1997] Exotic structures and adjunction inequality, Turkish Journal of Math. 21 (1997), 47-53. {Cites [Rudolph 1995b].}

Selman Akbulut and Burak Ozbagci

[2001] Lefschetz fibrations on compact Stein surfaces, Geometry and Topology 5 (2001), 319-334. {Cites [Rudolph 1992b, 1992c, 1995b, 1998].}

Gerald Allison, Avner Ash, and Eric Conrad

[1998] Galois representations, Hecke operators, and the mod-p cohomology of GL(3, Z) with twisted coefficients, Exp. Math. 7 (1998), 361-390. {Cites [Ash & Rudolph 1979].}

G. Aragon-Gonzalez, J. L. Aragon, and M. A. Rodriguez-Andrade

[2006] The decomposition of an orthogonal transformation as a product of reflections, J. Mathematical Physics 47 (2006), article number 013509. {Cites [Rudolph 1991].}

G. Aragon-Gonzalez, J. L. Aragon, M. A. Rodriguez-Andrade, and L. Verde-Star

[2009] Reflections, rotations, and Pythagorean numbers, Advances in Applied Clifford Algebras 19 (2009), 1-14. {Cites [Rudolph 1991].}

Enrique Artal Bartolo

[1995] Une démonstration géométrique du théorème d'Abhyankar-Moh, J. reine angew. Math. 464 (1995), 97-108. {Cites [Rudolph 1982].}

Avner Ash

[1980] Cohomology of congruence subgroups of SL(n, Z), Math. Ann. 249 (1980), 55-73.

[1983] On the top Betti number of subgroups of SL(n, Z), Math. Ann. 264 (1983), 277-281.

[1986] A note on minimal modular symbols, Proc. Amer. Math. Soc. 96 (1986), 394-396.

[1988] Non-minimal modular symbols for GL(n), Invent. Math. 91 (1988), 438-491.

[1989] Farrell cohomology of GL(n, Z), Israel J. Math. 67 (1989), 327-336.

[1994] Unstable cohomology of SL(n, O), J. Algebra 167 (1994), 330-342.

{All cite [Ash & Rudolph 1979].}

Avner Ash, Daniel Grayson, and Philip Green

[1984] Computations of cuspidal cohomology of congruence subgroups of SL(3; Z), J. Number Theory 19 (1984), 412-436. {Cites [Ash & Rudolph 1979].}

Avner Ash, Paul Gunnells, and Mark McConnell

[2002] Cohomology of congruence subgroups of SL(4, Z), J. Number Theory 94 (2002), 181-212. {Cites [Ash & Rudolph 1979].}

Avner Ash and Mark McConnell

[2002] Experimental indications of three-dimensional Galois representations from the cohomology of SL(3,Z), Experiment. Math. 1 (1992), 209-223. {Cites [Ash & Rudolph 1979].}

Tadashi Ashikaga and Hisaaki Endo

[2006] Various aspects of degenerate families of Riemann surfaces, Sugaku Expositions 19, 171-196. {Cites [Rudolph 1998].}

Abdallah Assi and Avinash Sathaye

[2005] On quasihomogeneous curves, preprint (2005). {Cites [Neumann & Rudolph 1987a].}

Ruth Auerbach

[1995] Loose-ended knots, preprint (1995). {Cites a lecture at the Mt. Holyoke College Research Experience for Undergraduates on algebraic singularities, 1995.}

Sebastian Baader

[2005a] Slice and Gordian numbers of track knots, Osaka J. Math. 42 (2005), 257-271. {Cites [Rudolph 1995b, 1999].}

[2005b] Quasipositivity and homogeneity, Math. Proc. Camb. Phil. Soc. 139 (2005), 287-290. {Cites [Rudolph 1983bd, 1998, 1999].}

[2005c] Notes on quasipositivity and combinatorial knot invariants, Ph.D. thesis, University of Basel (2004). {Cites [Rudolph 1983bd, 1992c, 1993, 1998, 1999 2005].}

[2006a] Construction of non-alternating knots, Proc. Amer. Math. Soc., published electronically March 14, 2007 (preprint, 2006). {Cites [Rudolph 1995b].}

[2006b] Moebius bands with a quasipositive fibred hole, preprint (2006). {Cites [Rudolph 1983bd, 1999].}

[2006c] Vassiliev invariants of quasipositive knots, Compositio Mathematica 142 (2006), 1343-1350. {Cites [Rudolph 1983bd].}

[2007] Asymptotic Rasmussen Invariant, Comptes Rendus Math. 345, 225-228. {Cites [Rudolph 1993].}

[2008] Asymptotic link invariants for ergodic vector fields, preprint (2008). {Cites [Rudolph 1993].}

[2008] Unknotting sequences for torus knots, preprint (2008).

Sebastian Baader, Kai Cieliebak, and Thomas Vogel

[2009] Legendrian ribbons in overtwisted contact structures, J. Knot Theory Ramifications 18 (2009), 523-529 (preprint, 2007). {Cites [Rudolph 1992c.]}

Sebastian Baader and Masaharu Ishikawa

[2006] Legendrian graphs and quasipositive diagrams, preprint (2006). {Cites [Rudolph 1995b, 1999].}

[2009] Legendrian framings for two-bridge links, preprint (2009).

Sebastian Baader, F. Kutzschebauch, and E. F. Wold

[2008] Knotted holomorphic discs in C^2, preprint (2008). {Cites [Rudolph 1982].}

Yongju Bae, Dongseok Kim, and Chan-Young Park

[2006] Basket, flat plumbing and flat plumbing basket numbers of links, preprint (2006). {Cites [Rudolph 1983e, 1988a, 1992b, 1998, 2001b]

Kenneth Baker

[2004] Knots on once-punctured torus fibers, Ph.D. thesis, University of Texas (2004). {Cites [Rudolph 2001b].}

Riccardo Benedetti and Masahiro Shiota

[1998] On real algebraic links in S³, Boll. Unione Mat. Italiana 3 (1998), 585-609. {Cites [Rudolph 1987b].}

D. Bennequin

[1983] Entrelacements et équations de Pfaff, Astérisque 107-108 (1983), 87-161. {Cites [Rudolph 1983de].}

[1990] Topologie Symplectique, convexité holomorphe et structures de contact [d'après Y. Eliashberg, D. Mc Duff et al.], Astérisque 189-90 (1990), 85-323. {Cites [Rudolph 1984a].}

Joan Birman and Ilya Kofman

[2007] Lorenz knots, T-links and twisted torus links, preprint (2007).

J. Birman, P. Boldi, M. Rampichini, and S. Vigna

[2002] Towards an implementation of the B-H algorithm for recognizing the unknot, J. Knot Theory Ramif. 11 (2002), 601-646. {Cites [Rudolph 1998].}

J. Birman, K. H. Ko, and S. J. Lee

[1998] A new approach to the word and conjugacy problems in the braid groups, Adv. Math. 139 (1998), 322-353. {Cites [Rudolph 1983e].}

J. S. Birman and W. W. Menasco

[1991] Studying links via closed braids (2): On a theorem of Bennequin, Topol. Appl. 40 (1991), 71-82. {Cites [Rudolph 1985b.]}

[1992a] Studying links via closed braids (1): A finiteness theorem, Pac. J. Math. 154 (1992), 17-36. {Cites [Rudolph 1985b].}

[1992b] Studying links via closed braids (5): The unlink, Trans. Amer. Math. Soc. 329 (1992), 585-606. {Cites [Rudolph 1983e].}

[1993] Studying links via closed braids (3): Classifying links which are closed 3-braids, Pac. J. Math. 161 (1993), 25-113. {Cites [Rudolph 1983e].}

J. Birman and R. F. Williams

[1983] Knotted periodic orbits in dynamical systems. I. Lorenz's equations, Topology 22 (1983), 47-82. {Cites [Rudolph 1983c].}

Zarko Bizaca

[1995] An explicit family of exotic Casson handles, Proc. Amer. Math. Soc. 123 (1995) 1297-1302. {Cites [Rudolph 1993].}

Zarko Bizaca and Robert Gompf

[1996] Elliptic surfaces and some simple exotic R⁴s, J. Differ. Geom. 43 (1996), 458-504. {Cites [Rudolph 1993].}

Arnaud Bodin

[1999] Milnor fibration and fibered links at infinity, International Mathematics Research Notices 11 (1999), 615-622. {Cites [Neumann & Rudolph 1987a].}

[2000] Fibres et entrelacs irréguliers à l'infini, doctoral thesis, Université Paul Sabatier, Toulouse (2000). {Cites [Neumann & Rudolph 1987a], [Rudolph 1982].}

[2002a] Classification of polynomials from C² to C with one critical value, Mathematische Zeitschrift 242 (2002), 303-322. {Cites [Neumann & Rudolph 1987a], [Rudolph 1982].}

[2002b] Non reality and non connectivity of complex polynomials, C. R. Math. 335 (2002), 1039-1042. {Cites private communication, 1998.}

[2008] Integral points on generic fibers, preprint (2008). {Cites [Neumann & Rudolph 1987a], [Rudolph 1982].}

Arnaud Bodin and Anne Pichon

[2007] Meromorphic functions, bifurcation sets and fibred links, Math. Res. Lett. 14 (2007), 413-422. {Cites [Hirasawa & Rudolph 2007].}

Christian Bohr

[2002] On the kinkiness of closed braids, J. Knot Theory Ramif. 11 (2002), 1155-1163. {Cites [Rudolph 1983d, 1993, 1999].}

Christian Bohr and Ronnie Lee

[2002] Homology cobordism and classical knot invariants, Comment. Math. Helv. 77 (2002), 363-382. {Cites [Rudolph 1993].}

Michel Boileau and Laurence Fourrier

[1998] Knot theory and plane algebraic curves, Chaos Solitons Fractals 9 (1998), 779-792. {Cites [Boileau & Rudolph 1995a], [Neumann & Rudolph 1987a], [Rudolph 1982, 1983bde, 1984b, 1985b, 1990b, 1992bc, 1995b, 1998].}

Michel Boileau and Stepan Yu. Orevkov

[2001] Quasipositivité d'une courbe analytique dans une boule pseudo-convexe, C. R. Acad. Sci. Paris 332 (2001), 825-830. {Cites [Boileau & Rudolph 1995a], [Rudolph 1983a].}

Michel Boileau and Claude Weber

[1983] Le problème de J. Milnor sur le nombre gordien des noeuds algébriques, Noeuds, Tresses, et Singularités (Plans-sur-Bex, 1982), 49-98, Monogr. Enseign. Math., 31, Enseignement Math., Geneva, 1983. {Cites [Rudolph 1983e].}

Maciej Borodzik and Henryk Zoladek

[2007a] Complex-algebraic plane curves via the Poincaré-Hopf formula, I. Parametric lines, Pacific J. Math. 229, 307-338. {Cites [Rudolph 1982, 1983a].}

[2007b] Complex-algebraic plane curves via the Poincaré-Hopf formula, II. Annuli, preprint (2007). {Cites [Rudolph 1983a], [Neumann & Rudolph 1987a].}

Thomas Brélivet

[2002] Topologie des polynômes, spectre et variance du spectre, doctoral thesis, Uni. Bordeaux, 2002.

[2005] Sur les paires spectrale de polynômes à deux variables, Actes du Colloque ``Singularitées franco-japonaises'', Séminaires & Congrès 10, Soc. Math. France, 2005, pp. 39-59.

{Both cite [Neumann & Rudolph 1987a].}

Nathan Broaddus

[2007] Homology of the curve complex and the Steinberg module of the mapping class group, preprint (2007). {Cites [Ash & Rudolph 1979].}

J. W. Bruce and T. J. Gaffney

[1982] Simple singularities of mappings C,0 -> C²,0, J. London Math. Soc. 26 (1982), 465-474. {Cites [Rudolph 1976a].}

Gerhard Burde and Heiner Zieschang‌†

[2003] Knots (second edition), de Gruyter Studies in Mathematics 5. Walter de Gruyter & Co., Berlin, 2003. {Cites [Pajitnov, Rudolph & Weber 2002], [Rudolph 1982, 1985b, 1987b, 1993, 1998].}

V. A. Bykovskii

[2003] Generating Elements of the Annihilating Ideal for Modular Symbols, Functional Analysis and Its Applications 37 (2003), 263-272. {Cites [Ash & Rudolph 1979].}

Melvin G. Calkin

[1996] Lagrangian And Hamiltonian Mechanics, World Scientific Publishing Co. (1996). {Cites [Abelson, di Sessa, & Rudolph 1975].}

Vera Carrara, J. Scott Carter, and Masahico Saito

[2001] Singularities of the projections of surfaces in 4-space, Pacific J. Math. 199 (2001), 21-40. {Cites [Rudolph 1983e].}

J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, and Masahico Saito

[1999] State-sum invariants of knotted curves and surfaces from quandle cohomology, Electron. Res. Announc. Amer. Math. Soc. 5 (1999), 146-156.

[2003] Quandle cohomology and state-sum invariants of knotted curves and surfaces, Trans. Amer. Math. Soc., 2003.

{Both cite [Rudolph 1983e].}

J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, and Masahico Saito

[2001] Computations of quandle cocycle invariants of knotted curves and surfaces, Adv. Math. 157 (2001), 36-94. {Cites [Rudolph 1983e].}

J. Scott Carter, Seiichi Kamada, and Masahico Saito

[2000] Alexander numbering of knotted surface diagrams, Proc. Amer. Math. Soc. 128 (2000), 3761-3771. {Cites [Rudolph 1983e].}

J. Scott Carter and Masahico Saito

[1995] Knot diagrams and braid theories in dimension 4, in Real and complex singularities (Sao Carlos, 1994), Pitman Res. Notes Math. Ser., 333, Longman, Harlow, 1995, pp. 112-147.

[1996] Braids and movies, J. Knot Theory Ramif. 5 (1996), 589-608.

{Both cite [Rudolph 1983e].}

Pierette Cassou-Nogues

[1996] Sur la généralisation d'un théorème de Kouchnirenko, Compos. Math. 103 (1996), 95-121. {Cites [Neumann & Rudolph 1987a].}

John Casti

[2000] Five more golden rules: knots, codes, chaos, and other great theories of 20th-century mathematics, John Wiley & Sons, 2000. {Cites [Menasco & Rudolph 1995c].}

Miran Cerne

[2000] Analytic discs attached from the outside have knotted boundaries, Bull. London Math. Soc. 32 (2000), 339-344. {Cites [Rudolph 1983e.}

Jae Choon Cha

[2006] Topological minimal genus and L²-signatures, preprint (2006). {Cites [Rudolph 1995b, 1997.]}

Hai-Chau Chang and Lih-Chung Wang

[1993] An intersection theoretical proof of the embedding line theorem, J. Algebra 161 (1993), 467-479. {Cites [Rudolph 1982].}

Eric P. Charles

[2009] The (Old) New Realism: What Holt Has to Offer for Ecological Psychology , Integrative Psychological and Behavioral Science 43 (2009), 53-66. {Cites [Rudolph 2006d, 2006e, 2008c, 2008d].}

Gautam Chinta, Paul Gunnells, and Robert Sczech

[2000] Computing special values of partial zeta functions, Algorithmic number theory (Leiden, 2000), Lecture Notes in Comput. Sci. 1838, Springer, Berlin, 2000. {Cites [Ash & Rudolph 1979].}

S. Chmutov and V. Goryunov

[1997] Polynomial invariants of Legendrian links and plane fronts, in Topics in singularity theory, Amer. Math. Soc. Transl. Ser. 2, 180 (1997), pp. 25-43. {Cites [Rudolph 1990b].}

David Cimasoni

[2002] Alexander invariants of multilinks, Ph.D. thesis, University of Geneva. {Cites [Neumann & Rudolph 1987a, 1990a].}

[2004a] The Conway potential function of a graph link, Math. Proc. Camb. Phil. Soc. 136 (2004), 557-563. {Cites [Neumann & Rudolph 1987a].}

[2004b] The Alexander module of links at infinity, Int. Math. Res. Not. 2004 20 (2004), 1023-1036. {Cites [Neumann & Rudolph 1987a].}

[2006] Slicing Bing doubles, Algebraic and Geometric Topology 6 (2006), 2395-2415. {Cites [Rudolph 1993, 1995b].}

Calvin C. Clawson

[1999] Mathematical Mysteries: The Beauty and Magic of Numbers, Da Capo Press, 1999.

John Clement and Jack Lochhead

[1979] Cognitive Process Instruction: Research on Teaching Thinking Skills, Franklin Institute Press, 1979. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Tim Cochran and Robert Gompf

[1988] Applications of Donaldson theorems to classical knot concordance, homology 3-spheres and Property-P, Topology 27 (1988), 495-512. {Cites [Rudolph 1983c].}

Peter R. Cromwell

[2004] Knots and links, Cambridge University Press, Cambridge, 2004. {Cites [Rudolph 1992b.]}

Daniel C. Cohen and Alexandru I. Suciu

[1997] The braid monodromy of plane algebraic curves and hyperplane arrangements, Comment. Math. Helv. 72 (1997), 285-315. {Cites [Rudolph 1983a].}

P. Cointe

[1984] Une extension de VLISP vers les objets, Science of Computer Programming 4 (1984), 291-322. {Cites [Abelson, Goodman & Rudolph 1974].}

F. Curado and J. F. Valente

[1978] Some problems of translating LOGO to a romance language, ACM SIGCUE Outlook 12 (1978), 11-29. {Cites [Abelson, Goodman & Rudolph 1974].}

Oliver T. Dasbach and Brian S. Mangum

[2001] On McMullen's and other inequalities for the Thurston norm of link complements, Algebraic and Geometric Topology 1 (2001), 321-347. {Cites [Rudolph 1993, 1999].}

David Derbes

[2001] Reinventing the wheel: Hodographic solutions to the Kepler problems, Am. J. Physics 69 (2001), 481-489. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Yuanan Diao, Claus Ernst, and Andrzej Stasiak

[2009] A partial ordering of knots through diagrammatic unknotting, J. Knot Theory Ramifications 18 (2009), 505-522 (preprint, 2006). {Cites [Rudolph 1993.]}

Alexandru Dimca

[1998] Monodromy at infinity for polynomials in two variables, J. Algebraic Geom. 7 (1998), 771-779. {Cites [Neumann & Rudolph 1987a].}

Alexandru Dimca and András Némethi

[2004] Hypersurface complements, Alexander modules and monodromy, Proceedings of the Conference: Real and Complex Singularities, San Carlos, Brazil, August 2002, Contemporary Mathematics 354 (2004), 19-43. {Cites [Neumann & Rudolph 1987a].}

Rainer Diriwaechter

[2006] The wandering soul in relation to time, Culture & Psychology 12 (2006), 161-167. {Cites [Rudolph 2006c].}

Andrea A. di Sessa

[1980] Computation as a physical and intellectual environment for learning physics, Computers and Education 4 (1980), 67-75. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Simon K. Donaldson

[1988] Complex curves and surgery, Inst. Hautes Études Sci. Publ. Math. No. 68 (1988), 91-97. {Cites [Rudolph 1984a].}

J. F. Dumais

[1979] Geometry of the Kepler initial-value problem explored with 2 circles, Am. J. Physics 47 (1979), 519-524. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Nathan M. Dunfield, Sergei Gukov, and Jacob Rasmussen

[2005] The superpolynomial for knot homologies, Experimental Mathematics 14 (2005). {Cites [Rudolph 1995b, 1999].}

Alan H. Durfee and Donal O'Shea

[2006] Polynomial knots, preprint (2006). {Cites a lecture at the Mt. Holyoke College Research Experience for Undergraduates on algebraic singularities, 1995.} [Rudolph 1982].}

Alan H. Durfee

[1999] Singularities, in History of Topology, ed. I. M. James, North-Holland, Amsterdam (1999), 417-434. {Cites [Rudolph 1982].}

Ehtibar N. Dzhafarov

[2006] Mathematical theorizing versus mathematical metaphorizing: A commentary on Rudolph, Culture & Psychology 12 (2006), 205-214. {Cites [Rudolph 2006c].}

David Eisenbud and Walter Neumann

[1986] Three-Dimensional Link Theory and Invariants of Plane Curve Singularities, Annals of Mathematics Studies 110. {Indirectly cites [Rudolph 1976b].

Eaman Eftekhary

[2005] Longitude Floer homology and the Whitehead double, Algebraic & Geometric Topology 5 (2005), 1389-1418. {Cites [Rudolph 1997.]}

T. Ekholm, J. Etnyre, and M. Sullivan

[2005] Legendrian submanifolds in R²ⁿ⁺¹ and contact homology, preprint (2002). {Cites [Rudolph 1995b].}

Andrew Elliott

[2009] State Cycles, Quasipositive Modification, and Constructing H-thick Knots in Khovanov Homology (preprint, 2009).

Yakov Eliashberg and Maia Fraser

[1998] Classification of topologically trivial Legendrian knots, in Geometry, topology, and dynamics (Montreal, PQ, 1995), CRM Proc. Lecture Notes 15, Amer. Math. Soc., Providence, RI, 1998, pp. 17-51. {Cites [Rudolph 1995d].}

[2009] Topologically trivial Legendrian knots, J. Symplectic Topology 7 (2007), 77-127 (preprint, 2008). {Cites [Rudolph 1990b, 1995d].}

Judith Epstein and Dmitry Fuchs

[2001] On the invariants of Legendrian mirror torus links, in Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001), pp. 103-115. {Cites [Rudolph 1993].}

Arno van den Essen

[1995] Seven lectures on polynomial automorphisms, in Automorphisms of affine spaces (Curacao, 1994) Kluwer Acad. Publ., Dordrecht, 1995, pp. 3-39.

[1997] Polynomial automorphisms and the Jacobian conjecture, in Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), Soc. Math. France, 1997, 55-81.

[2003] Around the Abhyankar-Moh Theorem, in Algebra, Arithmetic, and Geometry, With Applications: Papers from Shreeram S. Abhyankar's 70th Birthday Conference, Springer, 2003, pp. 283-294.

{All cite [Rudolph 1982].}

John B. Etnyre

[1998] Symplectic convexity in low-dimensional topology, Topol. Appl. 88 (1998), 3-25. {Cites [Rudolph 1995b].}

[1999] Transversal torus knots, Geometry and Topology 3 (1998), 253-268. {Cites [Rudolph 1995b].}

[2000] Tight contact structures on lens spaces, Commun. Contemp. Math. 2 (2000), 559-577; corrigendum. {Cites [Rudolph 1995b].}

[2005] Legendrian and transversal knots, in Handbook of Knot Theory (William Menasco and Morwen Thistlethwaite, eds.), Elsevier (2005). {Cites [Rudolph 1990b, 1995b].}

John B. Etnyre and Robert Ghrist

[2002] Tight contact structures and Anosov flows, Topology and its Applications 124 (2002), 211-219. {Cites [Rudolph 1995b].}

John B. Etnyre and Ko Honda

[2001a] Knots and contact geometry I: Torus knots and the figure eight knot, J. Symplectic Topology 1 (2001), 63-120.

[2001b] On the non-existence of tight contact structures, Annals of Math. 153 (2001), 749-766.

{Both cite [Rudolph 1995b].}

John B. Etnyre and Lenhard L. Ng

[2003] Problems in low-dimensional contact topology, Topology and Geometry of Manifolds (Proceedings of the 2001 Georgia International Topology Conference), Proc. Sympos. Pure Math. 71 (2003), 337--357. {Cites [Rudolph 1995b].}

John B. Etnyre, Lenhard L. Ng, and Joshua M. Sabloff

[2002] Invariants of Legendrian knots and coherent orientations, J. Symplectic Geom. 1 (2002), 321-367. {Cites [Rudolph 1995b].}

John B. Etnyre and Burak Ozbagci

[2008] Invariants of contact structures from open books, Trans. Amer. Math. Soc. 360 (2008), 3133-3151 (preprint, 2006). {Cites [Neumann & Rudolph 1990a].}

Emmanuel Ferrand

[1999] On Legendre cobordisms, Differential and symplectic topology of knots and curves, ed. S. Tabachnikov, Advances in the Mathematical Sciences 42 (1999), 23-35. {Cites [Rudolph 1990b, 1992b, 1993, 1995b].}

[2002] On Legendrian knots and polynomial invariants, Proc. Amer. Math. Soc. 130 (2002), 1169-1176. {Cites [Rudolph 1984b, 1990b, 1992ab, 1993, 1995b].}

[2005] Topologie et combinatoire des sous-variétés legendriennes, habilitation, 2005. {Cites [Rudolph 1984b, 1990b, 1992ab, 1993, 1995b].}

Thomas Fiedler

[1989] Complex-plane curves in the ball, Invent. Math. 95 (1989), 479-506. {Cites [Rudolph 1983ab].}

[1991a] On the degree of the Jones polynomial, Topology 30 (1991), 1-8. {Cites [Rudolph 1983e].}

[1991b] Algebraic links and the Hopf fibration, Topology 30 (1991), 259-265. {Cites [Rudolph 1983a].}

[1993] A small state sum for knots, Topology 32 (1993), 281-294. {Cites [Rudolph 1983e].}

[2001] Gauss diagram invariants for knots and links, Springer, 2001. {Cites [Rudolph 1983d].}

Vincent Florens

[2005] Signatures of colored links with application to real algebraic links, J. Knot Theory Ramif. 14 (2005), 883-918. {Cites [Rudolph 1997].}

Laurence Fourrier

[1994] Topological classification at infinity of polynomials of 2 complex variables, C. R. Acad. Sci. Paris 318 (1994), 461-466.

[1996] Topological types of polynomials of two complex variables at infinity, Ann. Inst. Fourier 46 (1996), 645-687.

{Both cite [Neumann & Rudolph 1987a], [Rudolph 1982].}

John Franks and R. F. Williams

[1987] Braids and the Jones polynomial, Trans. Amer. Math. Soc. 303 (1987), 97-108. {Cites [Rudolph 1983e].}

Gene Freudenburg and Jenna Freudenburg

[2009] Curves defined by Chebyshev polynomials, preprint (2009). {Cites [Rudolph 1982].}

Dmitry Fuchs and Serge Tabachnikov

[1997] Invariants of Legendrian and transverse knots in the standard contact space, Topology 36 (1997), 1025-1053. {Cites [Rudolph 1990b].}

Rei Furihata, Mikami Hirasawa, and Tsuyoshi Kobayashi

[2005] Seifert surfaces in open books, and a new coding algorithm for links, preprint (2005). {Cites [Rudolph 2001b].}

Martin Gardner

[1997] Last Recreations: Hydras, Eggs, and other Mathematical Mystifications, Springer Verlag, 1997.

[2001] The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems, W. W. Norton & Company, 2001.

{Both cite [Menasco & Rudolph 1995c].}

Bert van Geemen, Wilberd van der Kallen, Jaap Top, and Alain Verberkmoes

[1997] Hecke eigenforms in the cohomology of congruence subgroups of SL(3,Z), Experimental Mathematics 6 (1997), 163-174. {Cites [Ash & Rudolph 1979].}

Bert van Geemen and Jaap Top

[2000] Modular forms for GL(3) and Galois representations, Lect. Notes Comput. Sci. 1838 (2000), 333-346. {Cites [Ash & Rudolph 1979].}

M. Gharbi, J. Cortes, and T. Simeon

[2008] A sampling-based path planner for dual-arm manipulation, Advanced Intelligent Mechatronics, 2008.

William Gibson

[2002] Oriented divides and plane curve braids, J. Knot Theory Ramif. 11 (2002), 973-1016. {Cites [Rudolph 1983d].}

Emmanuel Giroux

[2003] Géométrie de contact: de la dimension trois vers les dimensions supérieures, Proceedings of the International Congress of Mathematicians, Beijing 2002, Volume 3, 405-414. {Cites [Neumann & Rudolph 1987a].}

Emmanuel Giroux and Noah Goodman

[2006] On the stable equivalence of open books in three-manifolds, Geometry & Topology 10 (2006), 97-114. {Cites [Neumann & Rudolph 1987a, 1988b].}

Hiroshi Goda

[2006] Circle valued Morse theory for knots and links, in Floer Homology, Gauge Theory, and Low-Dimensional Topology (David A. Ellwood, Peter S. Ozsvath, Andras Stipsicz, and Zoltan Szabo, eds.), Clay Mathematics Proceedings, vol. 6, 2006, pp. 71-99. {Cites [Pajitnov, Rudolph, & Weber 2001a], [Hirasawa & Rudolph 2007], [Rudolph 2005].}

[2007] Some estimates of the Morse-Novikov numbers for knots and links, in Intelligence of Low Dimensional Topology 2006 (J. Scott Carter, editor), World Scientific, 2007, pp. 35-42. {Cites [Pajitnov, Rudolph, & Weber 2001a], [Hirasawa & Rudolph 2007], [Rudolph 2005].}

Hiroshi Goda and Andrei Pajitnov

[2005] Twisted Novikov homology and circle-valued Morse theory for knots and links, Osaka J. Math. 42 (2005), 557-572. {Cites [Pajitnov, Rudolph, & Weber 2001a], [Hirasawa & Rudolph 2007].}

Dorian Goldfeld and Paul Gunnells

[2000] Eisenstein series twisted by modular symbols for the group SL(n), Math. Research Letters 7 (2000), 747-756. {Cites [Ash & Rudolph 1979].}

Robert Gompf

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[2007] A skein approach to Bennequin type inequalities, preprint (2007). {Cites [Rudolph 1990b, 1993].}

Nguyen Viet Dung

[1999] Braid monodromy of complex line arrangements, Kodai Math. J. 22 (1999), 46-55. {Cites [Rudolph 1983d].}

Nguyen Viet Dung and Hà Huy Vui

[1995] The fundamental group of complex hyperplanes arrangements, Acta Math. Vietnam. 20 (1995), 31-41. {Cites [Rudolph 1983d].}

Andrzej Nowicki

[1997] The Abhyankar-Moh theorem, preprint (1997). {Cites [Rudolph 1982].}

I. J. Nutt

[1995] Braid index of satellite links, Ph. D. thesis, University of Liverpool (1995).

[1997] Arc index and the Kauffman polynomial, J. Knot Theory Ramif. 6 (1997), 61-77.

[1999] Embedding knots and links in an open book III. On the braid index of satellite links, Math. Proc. Camb. Phil. Soc. 126 (1999), 77-98.

{All cite [Rudolph 1990b, 1992b].}

T. Ohtsuki (editor)

[2002] Problems on invariants of knots and 3-manifolds, Geom. Topol. Monogr. 4 (2002), 377-572. {Cites [Rudolph 1983c].}

Stepan Yu. Orevkov

[1988] The fundamental group of the complement of a plane algebraic curve, Math. USSR Sbornik 137 (1988), 267-277. {Cites [Rudolph 1983d].}

[1996] Rudolph diagrams and an analytic realization of the Vitushkin covering, Math. Notes 60 (1996), 153-164 (translation of Mat. Zemetki 60, 206-224). {Cites [Rudolph 1983d].}

[1998] Realizability of a braid monodromy by an algebraic function in a disk, C. R. Acad. Sci. Paris 326 (1998), 867-871. {Cites [Rudolph 1983d].}

[1999] Link theory and oval arrangements of real algebraic curves, Topology 38 (1999), 779-810. {Cites [Rudolph 1983d].}

[2000a] Strong positivity in right-invariant order on braid groups and quasipositivity, Math. Notes (translation of Mat. Zemetki) 68 (2000), 588-593. {Cites [Rudolph 1983ad].}

[2000b] Markov moves for quasipositive braids, C. R. Acad. Sci. Paris 331 (2000), 557-562. {Cites [Rudolph 1993].}

[2001] Classification of flexible M-curves of degree 8 up to isotopy, Geometric and Functional Analysis 12 (2002), 723-755. {Cites [Rudolph 1983d].}

[2004] Quasipositivity problem for 3-braids, Turkish J. Math. 28 (2004), 89-93. {Cites [Rudolph 1983d].}

Stepan Yu. Orevkov and E. I. Shustin

[2002] Flexible, algebraically unrealizable curves: rehabilitation of Hilbert-Rohn-Gudkov approach, J. reine angew. Math. 551 (2002), 145-172. {Cites [Rudolph 1983d].}

Brendan Owens

[2008] On slicing invariants of knots, preprint, 2008. {Cites [Rudolph 1983e].}

P. Ozsvath and Z. Szabo

[2003] Knot Floer homology and the four-ball genus, Geometry & Topology 7 (2003), 615-639. {Cites [Rudolph 1993].}

[2004] Heegaard diagrams and holomorphic disks, in Different Faces of Geometry (Simon K. Donaldson, Yakov Eliashberg, and Mikhael Gromov, eds.), International Mathematical Series (New York) 3. Kluwer Academic/Plenum Publishers, New York, 2004, pp. 301-348. {Cites [Rudolph 1993].}

[2005] Knots with unknotting number one and Heegaard Floer homology, Topology 44 (2005), 705-745. {Cites Rudolph 1993].}

P. Ozsvath, Z. Szabo, and D. Thurston

[2006] Legendrian knots, transverse knots and combinatorial Floer homology, preprint (2006). {Cites [Rudolph 1995b].}

Andrei Pajitnov

[2004] Novikov homology, twisted Alexander polynomials and Thurston cones, preprint (2004). {Cites [Pajitnov, Rudolph, & Weber 2001a].}

[2006] Circle-valued Morse Theory, Walter de Gruyter (Berlin), 2006. {Cites [Pajitnov, Rudolph, & Weber 2001a], [Hirasawa & Rudolph 2007b].}

[2008] On the tunnel number and the Morse-Novikov number of knots, preprint (2008).

A. A. Panchishkin

[1983] Modular Forms, Journal of Mathematical Sciences 23 (1983), 2707-2736. {Cites [Ash & Rudolph 1979].}

R. P. Patera

[1978] Scattering supplement to `Velocity space and geometry of planetary orbits', Am. J. Physics 46 (1978), 854-856.

[1981] Momentum-space derivation of the Runge-Lenz vector, Am. J. Physics 49 (1978), 593-594.

{Both cite [Abelson, di Sessa, & Rudolph 1975].}

R. P. Patera and J. W. H. Schreurs

[1980] Symmetry property of the velocity in a Kepler ellipse, Am. J. Physics 48 (1979), 677-678. {Cites [Abelson, di Sessa, & Rudolph 1975].}

R. D. Peters

[1991] True anomaly approximation for elliptic orbits, J. Guid. Control. Dynam. 14 (1991), 1069-1070. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Anne Pichon

[2005] Real analytic germs f(g^-) and open-book decompositions of the 3-sphere, International Journal of Mathematics 16 (2005), 1-12. {Cites [Rudolph 1987b].}

Anne Pichon and Jose Seade

[2005] Fibred multilinks and singularities f(g^-), preprint (2005). {Cites [Rudolph 1987b].}

Riccardo Piergallini and Daniele Zuddas

[2001] Braiding non-orientable surfaces in S⁴, Atti Sem. Mat. Fis. Univ. Modena, Suppl. Vol. II. (2001), 229-239. {Cites [Rudolph 1983de, 1985b].}

[2005] A universal ribbon surface in B⁴, Proc. London Math. Soc. 90, 763-782. {Cites [Rudolph 1983de].}

Olga Plamenevskaya

[2004] Bounds for the Thurston-Bennequin number from Floer homology, Algebraic and Geometric Topology 4 (2004), 399-406. (Preprint, 2003.) {Cites [Rudolph 1997.]}

[2006] Transverse knots and Khovanov homology, Mathematical Research Letters 13 (2006), 571-586. {Cites [Rudolph 1993].}

[2007] Transverse knots, branched double covers and Heegaard Floer contact invariants, J. Symplectic Geom. 4 (2006), 149-170. {Cites [Rudolph 1993].}

Radu Popescu

[2007] Exchange moves and Fiedler polynomial (preprint, 2007). {Cites [Rudolph 1983e].}

Josep M. Porta, Juan Cortes, Lluís Ros, and Federico Thomas

[2008] A Space Decomposition Method for Path Planning of Loop Linkages, Intelligent Robots and Systems, 2007 (IROS 2007), 1882-1888. {Cites [Han and Rudolph 2006a].}

Jozef Przytycki

[1997] Positive Links, in Encyclopaedia of Mathematics, First Supplement (Michiel Hazewinkel, ed.), Kluwer Academic Publishers, Dordrecht, 1997, p. 308. {Cites [Rudolph 1983c, 1995b, Rudolph 1999].}

J. C. Rainwater and R. Weinstock‌†

[1979] Inverse-square orbits -- geometric approach, Am. J. Physics 47 (1979), 223-227. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Marta Rampichini

[1999] Exchangeable fibered links, Boll. Unione Mat. Ital. (1999), 53-56. {Cites [Rudolph 1988a.]}

[2001] Mutually braided links, films and exchangeability, J. Knot Theory Ramif. 10 (2001), 739-761. {Cites [Rudolph 1988a.]}

[2004] Fibred closed braids with disc-band fibre surfaces, Bollettino della Unione Matematica Italiana 7B (2), 433-451. {Cites [Rudolph 1983be, 1985b, 1998].}

Jacob Rasmussen

[2004] Khovanov homology and the slice genus, Invent. Math. (to appear; preprint, 2004).

[2005] Knot polynomials and knot homologies, in Geometry and topology of manifolds, Fields Inst. Commun. 47, Amer. Math. Soc., Providence, RI, 2005, pp. 261-280.

{Both cite [Rudolph 1999].}

Mark Reeder

[1990] Modular symbols and the Steinberg representation, Lect. Notes Math. 1447 (1990), 287-302.

[1991] The Steinberg module and the cohomology of arithmetic groups, J. Algebra 141 (1991) 287-315.

{Both cite [Ash & Rudolph 1979].}

Robert Root-Bernstein

[1996] Do we have the structure of DNA right?- Aesthetic assumptions, visual conventions, and unsolved problems, Art Journal 55 (1996), 47-55. {Cites [Menasco & Rudolph 1995c].}

Osamu Saeki

[1999] Theory of fibered 3-knots in S⁵ and its applications, J. Math. Sci. Univ. Tokyo 6 (1999), 691-756. {Cites [Neumann & Rudolph 1987a].}

Masahiko Saito, J. Scott Carter, and Seiichi Kamada

[2004] Surfaces in 4-space, Springer (2004). {Cites [Rudolph 1983e, 1985b].}

C. G. Schmidt

[1993] Relative modular symbols and p-adic Rankin-Selberg convolutions, Invent. Math. 112 (1993), 31-76. {Cites [Ash & Rudolph 1979].}

Robert Sczech

[1993] Eisenstein group cocycles for GL(N) and values of L-functions, Invent. Math. 113 (1993), 581-616. {Cites [Ash & Rudolph 1979].}

J. Seade

[2005] Knots, fibered links and singularities, Rev. Semin. Iberoam. Mat. Singul. Tordesillas 3 (2005), 35-44.

[2006] On the Topology of Isolated Singularities in Analytic Spaces, Springer, 2006.

[2007] On Milnor's Fibration Theorem for real and complex singularities, in Singularities in Geometry and Topology: Proceedings of the Trieste Singularity Summer School and Workshop (Jean-Paul Brasselet, James Damon, Le Dung Trang, and Mutsuo Oka, editors), World Scientific Publishing, 2007, pp. 127-160. {All cite [Rudolph 1987b].}

Ferdinand J. Shore

[1987] The Kepler problem recast: Use of a transverse velocity transformation and the invariant velocities, Am. J. Physics 55 (1987), 139-146.

[1989] Stellar aberration, invariant velocities, and Earth's hodograph, Am. J. Physics 57 (1989), 948-949.

{Both cite [Abelson, di Sessa, & Rudolph 1975].}

Alexander Shumakovitch

[2007] Rasmussen invariant, Slice-Bennequin inequality, and sliceness of knots, J. K not Theory Ramif. 16 (2007), 1403-1412 (preprint, 2004). {Cites [Rudolph 1993, 1995b].}

Daniel S. Silver and Wilbur Whitten

[2005] Hyperbolic covering knots, Algebr. Geom. Topol. 5 (2005), 1451-1469. {Cites [Rudolph 1993].}

Richard Skora

[1992] Closed braids in 3-manifolds, Math. Zeitschrift 211 (1992), 173-187. {Cites [Rudolph 1983b].}

John Christopher Sligar

[1990] On the minimal upsilon-degree of the generalized Jones polynomial, Ph. D. thesis, University of Georgia (1990).

Cynthia Solomon

[1976] Leading a child to a computer culture, ACM SIGCSE Bulletin 8 (1976), 79-83. {Cites [Abelson, Goodman & Rudolph 1974].}

William A. Stein

[2006] Modular Forms: A Computational Approach, to appear in American Mathematical Society Graduate Studies in Mathematics book series, 2007 (preprint, 2006). {Cites [Ash & Rudolph 1979].}

Glenn Stevens

[1989] The Eisenstein measure and real quadratic fields, in Théorie des Nombres (Quebec, PQ, 1987), de Gruyter, Berlin (1989), pp. 887-927. {Cites [Ash & Rudolph 1979].}

Alexander Stoimenow

[1999a] Chord and Gauss diagrams in the theory of knots, preprint (1999).

[2000a] A property of the skein polynomial with an application to contact geometry, J. Diff. Geom 77 (2007), 555-566 (preprint, 2000). {Cites [Rudolph 1992b, 1993, 1995b].}

[2000b] The signature of 2-almost positive knots, J. Knot Theory Ramif. 9 (2000), 813-845 {Cites [Rudolph 1983c].}

[2000c] Knots of genus two, preprint (1998, revised 2000). {Cites [Rudolph 1999].}

[2001a] Knots of genus one or on the number of alternating knots of given genus, Proc. Amer. Math. Soc. 129 (2001), 2141-2156. {Cites [Rudolph 1999].}

[2001b] Some examples related to 4-genera, unknotting numbers and knot polynomials, J. London Math. Soc. 63 (2001), 487-500. {Cites [Rudolph 1983e, 1993, 1999].}

[2002a] The granny and the square tangle and the unknotting number, Topology and its Applications 117 (2002), 59-75. {Cites [Rudolph 1983e.]}

[2002c] On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks, Trans. Amer. Math. Soc. 354 (2002), 3927-3954. {Cites [Rudolph 1983ce].}

[2002d] Some inequalities between knot invariants, Int. J. Math. 4 (2002), 373-393. {Cites [Rudolph 1993, 1999].}

[2003a] On the coefficients of the link polynomials, Manuscripta Math. 110 (2003), 203-236. {Cites [Rudolph 1983e].}

[2003b] Positive knots, closed braids and the Jones polynomial, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 2 (2003), 237-285. {Cites [Rudolph 1983e, 1993, 1999].}

[2003d] The skein polynomial of closed 3-braids, J. reine angew. Math. 564 (2003), 167-180. {Cites [Rudolph 1983e, 1993, 1999].}

[2004a] Some examples related to knot sliceness, J. Pure Appl. Algebra 210 (2007), 161-175 (preprint, July 2004). {Cites [Rudolph 1983e, 1993, 1999, 2001c].}

[2004b] Gauss diagram sums on almost positive knots, Compos. Math. 140 (2004), 228-254 (preprint 1997, revised 2001). {Cites [Rudolph 1990, 1999.]}

[2005] On polynomials and surfaces of variously positive links, J. European Math. Soc. 7 (2005), 477-509. {Cites [Rudolph 1983e, 1993, 1999.]}

[2006a] On the crossing number of semiadequate links, preprint (2001; revised July 2006). {Cites [Rudolph 1993, 1999.]}

[2006b] Properties of closed 3-braids, preprint (2006). {Cites [Rudolph 1983e, 1993.]}

[2006c] On the Polyak-Viro Vassiliev invariant of degree 4, Canadian Mathematical Bulletin 49 (2006), 609-623. {Cites [Rudolph 1983e, 1993].}

[2006d] Genus generators and the positivity of the signature, Algebraic and Geometric Topology 6 (2006), 2351-2393. {Cites [Rudolph 1983c, 1995b, Rudolph 1999].}

[2008] Bennequin's inequality and the positivity of the signature, Trans. Amer. Math. Soc. 360 (2008), 5173-5199. {Cites [Rudolph 1983c, 1995b.}

Neil Stoltzfus

[1979] Unraveling the integral knot concordance group, Mem. Amer. Math. Soc. 12 (1977). {Cites [Rudolph 1976b].}

P. A. Sundheim

[1993] The Alexander and Markov theorems via diagrams for links in 3-manifolds, Trans. Amer. Math. Soc. 337 (1993), 591-607. {Cites [Rudolph 1983b].}

Kokoro Tanaka

[2005] The braid index of surface-knots and quandle colorings, Illinois J. Math. 49 (2005), 517-522. {Cites [Rudolph 1983e, 1985b.]}

Toshifumi Tanaka

[1998a] Four-genera of quasipositive knots, Topology Appl. 83 (1998), 187-192. {Cites [Rudolph 1983d, 1984a, 1993.]}

[1998b] Unknotting numbers of quasipositive knots, Topology Appl. 88 (1998), 239-246. {Cites [Rudolph 1984b, 1992bc, 1993, 1998].}

[1999a] Study on cobordism of quasipositive knots, Ph. D. thesis, Kyushu University, 1999.

[1999b] Maximal Bennequin numbers and Kauffman polynomials of positive links, Proc. Amer. Math. Soc. 127 (1999), 3427-3432. {Cites [Rudolph 1995b, 1997.]}

[2006] Maximal Thurston-Bennequin numbers of alternating links, Topology and its Applications 153 (2006), 2476-2483. {Cites [Rudolph 1995b, 1997.]}

Xinyu Tang, Shawna Thomas, and Nancy Amato

[2007] Planning with reachable distances: fast enforcement of closure constraints, Proc. IEEE Int. Conf. Robot. Autom. (ICRA), pp. 2694-2699, Rome, Italy, April 2007. {Cites [Han, Rudolph, Blumenthal & Valodzin 2006b].}

William R. Taylor, Bing Xiao, Steven J. Gamblin, and Kuang Lin

[2003] A knot or not a knot? SETting the record `straight' on proteins, Computational Biology and Chemistry 27 (2003), 11-15. {Cites [Menasco & Rudolph 1995c].}

Konstantinos Theofilatos, Grigorios Beligiannis, and Spiridon Likothanassis

[2009] Combining evolutionary and stochastic gradient techniques for system identification, Journal of Computational and Applied Mathematics 227 (2009), 147-160. {Cites [Rudolph 2006d ].}

Warren Thorngate

[2006] The seductive danger of visual metaphors: It's about time, Culture & Psychology 12 (2006), 215-219. {Cites [Rudolph 2006c].}

Mihai Tibar

[2007] Polynomials and Vanishing Cycles, Cambridge University Press (2007). {Cites [Rudolph 1982].}

Ichiro Torisu

[2003] On the additivity of the Thurston-Bennequin invariant of Legendrian knots, Pacific J. Math. 210 (2003), 359-365. {Cites [Rudolph 1995b].}

Arpad Toth

[2005] On the Steinberg module of Chevalley groups, Manuscripta Math. 116 (2005), 277-295. {Cites [Ash & Rudolph 1979].}

Pawel Traczyk

[1988] Non-trivial negative links have positive signature, Manuscripta Math. 61 (1988), 279-284. {Cites [Rudolph 1983c].}

Lisa Traynor

[1998] A Legendrian stratification of rational tangles, J. Knot Theory Ramif. 7 (1998), 659-700. {Cites [Rudolph 1992a, 1995b, 1997.]}

Sébastien Trilles

[2000] Symétrie et entrelacs de courbes réelles algébriques, Ph.D. thesis, Uni. Paul Sabatier (Toulouse, France), 2000. {Cites [Rudolph 1983d].}

Nenad Trinajstic and Ivan Gutman

[2002] Mathematical Chemistry, Croatica Chemica Acta 75 (2002), 329-356. {Cites [Menasco & Rudolph 1995c].}

Stanley Trollip and Andrew Ortony

[1977] Real-time simulation in computer-assisted instruction, Instructional Science 6 (1977), 135-149. {Cites [Abelson, Goodman & Rudolph 1974].}

Jaan Valsiner

[2005] Scaffolding within the structure of Dialogical Self: Hierarchical dynamics of semiotic mediation, New Ideas in Psychology 23 (2005), 197-206. {Cites [Rudolph 2006ce].}

[2006] Once upon a time...again, Culture & Psychology 12 (2006), 139-141. {Cites [Rudolph 2006cd].}

[2007a] Gilbert Gottlieb's theory of probabilistic epigenesis: Probabilities and realities in development, Developmental Psychobiology 49 (2007), 832-840. {Cites [Rudolph 2006cd].}

[2007b] Looking Across Cultural Gender Boundaries, Integrative Psychological and Behavioral Science 41 (2007), 219-244. {Cites [Rudolph 2006cd].}

[2008a] Open intransitivity cycles in development and education: Pathways to synthesis, European Journal of Psychology of Education 23 (2008), 131-147. {Cites [Rudolph 2006cd].}

[2008b] War in Peace: Cultural Regulation of the Construction-Destruction Dynamic, in Handbook on Building Cultures of Peace (J. de Rivera, ed), 2008, pages 43-55. {Cites [Rudolph 2006e].}

James van Buskirk‌†

[1985] Positive knots have positive Conway polynomials, Knot theory and manifolds, Lect. Notes Math. 1144 (1985), 146-159. {Cites [Rudolph 1983c].}

Cornelia A. Van Cott

[2007] Relationships between braid length and the number of braid strands, preprint (2006). {Cites [Rudolph 1993].}

Paul van Geert

[2006] Time, Models and Narratives: Towards Understanding the Dynamics of Life, Culture and Psychology (volume 12, number 4), 487-507, 2006. {Cites [Rudolph 2006cd].}

Marina Ville

[2007] Milnor numbers for 2-surfaces in 4-manifolds, preprint (2007). {Cites [Rudolph 1983a, 1987b, 1993].}

John Wermer

[2001] The argument principle and boundaries of analytic varieties, in Recent advances in operator theory and related topics (Szeged, 1999), Oper. Theory Adv. Appl., 127, Birkhäuser, Basel, 2001, pp. 639-659.

Harald Wertz

[1984] Intelligence Artificielle: application à l'analyse de programme, Masson, Paris. {Cites [Abelson, Goodman & Rudolph 1974].}

J. T. Wheeler

[2005] Not-so-classical mechanics: unexpected symmetries of classical motion, Canadian J. Physics 83 (2005), 91-138. {Cites [Abelson, di Sessa, & Rudolph 1975].}

Elmar Winkelnkemper

[1998] The History and Applications of Open Books, appendix in A. A. Ranicki, High-dimensional Knot Theory, Springer, 1998. {Cites [Rudolph 1987b].}

Gretchen Wright

[2000] A foliated disk whose boundary is Morton's irreducible 4-braid, Math. Proc. Camb. Phil. Soc. 128 (2000), 95-101. {Cites [Rudolph 1983e].}

Hao Wu

[2005] On the slicing genus of Legendrian knots, preprint (2005). {Cites [Rudolph 1997.]}

[2007] The Khovanov-Rozansky cohomology and Bennequin inequalities, preprint (2007). {Cites [Rudolph 1993, 1999].}

[2009] On the quantum filtration of the Khovanov-Rozansky cohomology, Advances in Mathematics 221 (2009), 54-139 (preprint, 2006). {Cites [Rudolph 1993].}

Yoko Yamada and Yoshinobu Kato

[2006] Directionality of development and the Ryoko model: Reply to four commentaries, Culture & Psychology 12 (2006), 260-272. {Cites [Rudolph 2006c].}

Yoshiro Yaguchi

[2009] Isotropy subgroup of Hurwitz action of the 3-braid group on the braid systems, J. Knot Theory Ramif. 18 (2009), 1021-1030. {Cites [Rudolph 1983e].}

Yuichi Yamada

[2005] Berge's knots in the fiber surfaces of genus one lens space and framed links, J. Knot Theory Ramif. 14 (2005), 177-188.

[2009] Lens space surgeries as A'Campo's divide knots, Algebraic & Geometric Topology 9 (2009), 397-428. {Cites [Rudolph 1993].}

Anna Yershova and Steven M. LaValle

[2006] Planning for closed chains without inverse kinematics, preprint (2006). {Cites [Han, Rudolph, Blumenthal & Valodzin 2006b].}

[2010] Motion planning for highly constrained spaces, in Robot Motion and Control 2009 (Krzysztof Kozlowski, ed.), Lecture Notes in Control and Information Sciences 396, Springer, pp. 297-306. {Cites [Han & Rudolph 2008f].}

Henryk Zoladek

[2003] A new topological proof of the Abhyankar-Moh theorem, Math. Zeitschrift 244 (2003), 689-695. {Cites [Rudolph 1982].}

Daniele Zuddas

[2000] Trecce bidimensionali, Grad. thesis, University of Camerino-Italy 2000. {Cites [Rudolph 1983e, 1985b].}

[2007] Branched coverings and 4-manifolds, Tesi di Perfezionamento (Ph.D. thesis), Scuola Normale Superiore di Pisa.

[2009] Representing Dehn twists with branched coverings, International Math. Research Notices (2009), 387-413 (preprint, 2007). {Cites [Rudolph 1983de, 1985b].}

Particularly notable additions

In psychology, Paul van Geert has made some use of my proposed models of psychological time. He writes, ``Every now and then an image pops up that has the power to change the perspective on many other images. Lee Rudolph's (2006a) `the fullness of time' is such an image (for me, at least).''

In robotics, Anna Yershova and Steve La Valle ``show that efficient sampling-based motion planning'' for a mechanism with a closed chain ``is possible without having either'' a characterization of ``the geometry and topology of the closure set'' or a knowledge of the chain's inverse kinematics; but they do note that the ``new parametrization'' described in the topological, IK-focused paper Stratified configuration space and path planning for a planar closed chain with revolute joints [Han, Rudolph, Blumenthal & Valodzin 2006b] ``may lead to efficient motion planning algorithms in the future.'' We hope so!

In knot theory, Bae, Kim, and Park and Furihata, Hirasawa, and Kobayashi have made interesting applications of the special Seifert surfaces I named ``baskets''. Olga Plamenevskaya has proved that a new Khovanov-homological invariant is non-zero on quasipositive links. Sebastian Baader and Masaharu Ishikawa have given the negative answer to a question about braided surfaces that I asked in 1998. David Cimasoni and Matthew Hedden have proved new results on sliceness of various kinds of doubled knots. Hiroshi Goda has further developed circle-valued Morse theory for knots and links.

Elsewhere in low-dimensional topology, Jae Choon Cha has made progress on the minimal genus problem for topologically locally flat surfaces in 4-manifolds. Mikhail Khovanov and Richard Thomas are developing a theory of braid cobordisms using triangulated categories; they note that ``Braid cobordisms ... originally appeared in Rudolph [Ru]'', where I called them ``braided surfaces''. In 1983 I would never have guessed that triangulated categories would someday appear in association with braided surfaces -- though I did write, hopefully and innocently, that ``Perhaps some natural incidence structure, of the `building' sort, awaits discovery'' in the combinatorial infrastructure of a braided surface.