Geodesic
Узлы и их инварианты
Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (1999), pp. 59-93.

Voir la notice de l'article provenant de la source Math-Net.Ru

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     journal = {Matematicheskoe Prosveshchenie},
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     url = {http://geodesic.mathdoc.fr/item/MP_1999_a7/}
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S. V. Duzhin; S. V. Chmutov. Узлы и их инварианты. Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (1999), pp. 59-93. http://geodesic.mathdoc.fr/item/MP_1999_a7/

[1] Colin C. Adams, The knot book, W. H. Freeman and Company, NY, 1994 | MR | Zbl

[2] D. Bar-Natan, “On the Vassiliev knot invariants”, Topology, 34 (1995), 423–472 | DOI | MR | Zbl

[3] D. Bar-Natan, S. Garoufalidis, L. Rozansky, D. Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot, Preprint, 1997 | MR

[4] D. Bar-Natan, Thang Le, Dylan Thurston, “The Kontsevich integral of the unknot” (to appear)

[5] Joan S. Birman, Michael D. Hirsch, A new algorithm for recognizing the unknot, http://xxx.lanl.gov/abs/math.GT/9801126 | MR

[6] D. Bennequin, “Entrelacements et équations de Pfaff”, Astérisque, 107–108, 1983, 87–161 ; UMN, 44:3 (1989), 3–53 | MR | Zbl | MR | Zbl

[7] R. Krouell, R. Foks, Teoriya uzlov, Mir, M., 1967

[8] Yu. Chekanov, Differential algebras of Legendrian links, Preprint, 1997 | MR

[9] S. Chmutov, V. Goryunov, “Polynomial invariants of Legendrian links and plane fronts”, Topics in Singularity Theory, V. I. Arnold's 60-th Anniversary Collection, Amer. Math. Soc. Transl. Ser. 2, 180, eds. A. Khovanskii, A. Varchenko, V. Vassiliev, 1997, 25–43 | MR | Zbl

[10] O. T. Dasbach, S. Hougardy, “Does the Jones Polynomial Detect Unknottedness?”, J. of Experimental Mathematics, 6:1 (1997), 51–56 | MR | Zbl

[11] Ya. Eliashberg, “Legendrian and transversal knots in tight contact 3-manifolds”, Topological methods in modern mathematics, Publish or Perish, Houston, 1993, 171–193 | MR | Zbl

[12] D. Fuchs, S. Tabachnikov, “Invariants of Legendrian and transverse knots in the standard contact space”, Topology, 36 (1997), 1025–1053 | DOI | MR | Zbl

[13] C. Gordan, J. Luecke, “Knots are determined by their complements”, J. Amer. Math. Soc., 2 (1989), 371–415 | DOI | MR

[14] W. Haken, “Theorie der Normalflächen”, Acta Math., 105 (1961), 245–375 | DOI | MR | Zbl

[15] J. Hoste, M. Thistlethwaite and J. Weeks, “The first 1,701,936 knots”, Mathematical Intelligencer, 20 (1998), 33–48 | DOI | MR | Zbl

[16] Jan Kneissler, The number of primitive Vassiliev invariants up to degree twelve, Preprint, June 1997

[17] L. Kauffman, “State models and the Jones polynomial”, Topology, 26 (1987), 395–407 | DOI | MR | Zbl

[18] M. Kontsevich, “Vassiliev's knot invariants”, Adv. in Soviet Math., 16, Part 2 (1993), 137–150 | MR | Zbl

[19] S. V. Matveev, “Klassifikatsiya dostatochno bolshikh trekhmernykh mnogoobrazii”, UMN, 52:5 (1997), 147–174 | MR | Zbl

[20] W. Menasco, M. Thistlethwaite, “A classification of alternating links”, Annals of Mathematics, 138 (1993), 113–171 | DOI | MR | Zbl

[21] K. Murasugi, “Jones polynomial and classical conjectures in knot theory”, Topology, 26 (1987), 187–194 | DOI | MR | Zbl

[22] V. V. Prasolov, A. B. Sosinskii, Uzly, zatsepleniya, kosy i trekhmernye mnogoobraziya, MTsNMO, M., 1997

[23] S. Tabachnikov, “Estimates for the Bennequin number of legendrian links from state models for knot polynomials”, Mathematical Research Letters, 4 (1997), 143–156 | MR | Zbl

[24] J. Hoste, M. Thistlethwaite, J. Weeks, Tablitsa uzlov i programma {\tt KnotScape}, (domashnyaya stranitsa M. Tisltueita) http://www.math.utk.edu/~morwen

[25] M. Thistlethwaite, “A spanning tree expansion for the Jones polynomial”, Topology, 26 (1987), 297–309 | DOI | MR | Zbl

[26] H. F. Trotter, “Non-invertible knots exist”, Topology, 2 (1963), 275–280 | DOI | MR | Zbl

[27] V. A. Vassiliev, “Cohomology of knot spaces”, Theory of Singularities and Its Applications, Advances in Soviet Math., 1, ed. V. I. Arnold, 1990, 23–69 | MR | Zbl

[28] P. Vogel, Algebraic structures on modules of diagrams, Prepublication 32, Institut de Mathematiques de Jussieu, August 1995

[29] W. Whitten, “Knot complements and groups”, Topology, 26 (1987), 41–44 | DOI | MR | Zbl