Invariants de Vassiliev des nœuds

Pierre Vogel

Séminaire Bourbaki (1992-1993)

  • Volume: 35, page 213-232
  • ISSN: 0303-1179

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Vogel, Pierre. "Invariants de Vassiliev des nœuds." Séminaire Bourbaki 35 (1992-1993): 213-232. <http://eudml.org/doc/110170>.

@article{Vogel1992-1993,
author = {Vogel, Pierre},
journal = {Séminaire Bourbaki},
keywords = {Vassiliev knot invariants; Hopf algebra; Feynman diagrams; cord diagrams},
language = {fre},
pages = {213-232},
publisher = {Société Mathématique de France},
title = {Invariants de Vassiliev des nœuds},
url = {http://eudml.org/doc/110170},
volume = {35},
year = {1992-1993},
}

TY - JOUR
AU - Vogel, Pierre
TI - Invariants de Vassiliev des nœuds
JO - Séminaire Bourbaki
PY - 1992-1993
PB - Société Mathématique de France
VL - 35
SP - 213
EP - 232
LA - fre
KW - Vassiliev knot invariants; Hopf algebra; Feynman diagrams; cord diagrams
UR - http://eudml.org/doc/110170
ER -

References

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  2. [BN1] D. Bar-Natan — Weights of Feynman diagrams and the Vassiliev knot invariants, preprint 1991. MR1318886
  3. [BN2] D. Bar-Natan — On the Vassiliev knot invariants, preprint 1992. MR1318886
  4. [BN3] D. Bar-Natan — Vassiliev homotopy string link invariants, preprint 1992. MR1321289
  5. [CH] K.T. Chen—Iterated path integrals, Bull. Amer. Math. Soc.83, 1977, 831-879. Zbl0389.58001MR454968
  6. [CO] J.H. Conway—An enumeration of knots and links and some of their algebraic properties, Computational Problems in Abstract Algebra, Pergamon, New-York1970, 329-358. Zbl0202.54703MR258014
  7. [D] C. Day — Vassiliev invariants for links, preprint 1992. 
  8. [F] P. Freyd, J. Hoste, W.B.R. Lickorish, K. Millett, A. Ocneanu et D. Yetter — A new polynomial invariant of knots and links, Bull. Amer. Math. Soc.12, 1985, 239-246. Zbl0572.57002MR776477
  9. [J] V.F.R. Jones — A polynomial invariant for knots via Von Neumann algebras, Bull. Amer. Math. Soc.12, 1985, 103-111. Zbl0564.57006MR766964
  10. [KA] L.H. Kauffman — An invariant of regular isotopy, Trans. Amer. Math. Soc312, 1990, 417-471. Zbl0763.57004MR958895
  11. [KO] M. Kontsevich — Graphs, homotopical algebra and low-dimensional topology, preprint 1992. 
  12. [KZ] V.G. Knizhnik et A.B. Zamolodchikov — Current algebra and Wess-Zumino model in two dimensions, Nucl. Phys. B247, 1984, 83-103. Zbl0661.17020MR853258
  13. [L] X.S. Lin — Vertex models, quantum groups and Vassiliev's knot invariants, preprint 1991. 
  14. [P] S. Piunikhine — Weignts of Feynman diagrams, link polynomials and Vassiliev knot invariants, preprint 1992. MR1321294
  15. [S] A.B. Sossinsky — Feynman diagrams and Vassiliev invariants, IHES M/92/13, preprint 1992. 
  16. [T] V.G. Turaev — The Yang-Baxter equation and invariants of links, Invent. Math.92, 1988, 527-553. Zbl0648.57003MR939474
  17. [VI] V.A. Vassiliev — Cohomology of knot spaces, Theory of Singularities and its Applications (V. I. Arnold, éd.), Amer. Math. Soc., Providence, 1990. Zbl0727.57008MR1089670
  18. [V2] V.A. Vassiliev — Complements of discriminants of smooth maps: topology and applications, Trans. of Math. Mono.98, Amer. Math. Soc., Providence, 1992. Zbl0762.55001MR1168473

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