Knot polynomials and Vassiliev's invariants.

Joan S. Birman; Xiao-Song Lin

Inventiones mathematicae (1993)

  • Volume: 111, Issue: 2, page 225-270
  • ISSN: 0020-9910; 1432-1297/e

How to cite


Birman, Joan S., and Lin, Xiao-Song. "Knot polynomials and Vassiliev's invariants.." Inventiones mathematicae 111.2 (1993): 225-270. <>.

author = {Birman, Joan S., Lin, Xiao-Song},
journal = {Inventiones mathematicae},
keywords = {Vassiliev invariants; Jones' polynomial; space of smooth maps from the circle to the 3-sphere; knot polynomials},
number = {2},
pages = {225-270},
title = {Knot polynomials and Vassiliev's invariants.},
url = {},
volume = {111},
year = {1993},

AU - Birman, Joan S.
AU - Lin, Xiao-Song
TI - Knot polynomials and Vassiliev's invariants.
JO - Inventiones mathematicae
PY - 1993
VL - 111
IS - 2
SP - 225
EP - 270
KW - Vassiliev invariants; Jones' polynomial; space of smooth maps from the circle to the 3-sphere; knot polynomials
UR -
ER -

Citations in EuDML Documents

  1. Simon Willerton, Vassiliev invariants as polynomials
  2. Tetsuo Deguchi, Kyoichi Tsurusaki, Numerical application of knot invariants and universality of random knotting
  3. Leonid Plachta, Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
  4. Taizo Kanenobu, Yasuyuki Miyazawa, Homfly polynomials as vassiliev link invariants
  5. Pierre Vogel, Invariants de Vassiliev des nœuds
  6. Tu Quoc Thang Le, Jun Murakami, The universal Vassiliev-Kontsevich invariant for framed oriented links
  7. Richard Randell, Invariants of piecewise-linear knots
  8. Xiao-Song Lin, Finite type invariants of integral homology 3-spheres: A survey
  9. Alexander Stoimenow, Positive knots, closed braids and the Jones polynomial
  10. Gwénaël Massuyeau, An introduction to the abelian Reidemeister torsion of three-dimensional manifolds

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