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Inventiones mathematicae

, Volume 111, Issue 1, pp 225–270 | Cite as

Knot polynomials and Vassiliev's invariants

  • Joan S. Birman
  • Xiao-Song Lin
Article

Summary

A fundamental relationship is established between Jones' knot invariants and Vassiliev's knot invariants. Since Vassiliev's knot invariants have a firm grounding in classical topology, one obtains as a result a first step in understanding the Jones polynomial by topological methods.

Keywords

Topological Method Firm Grounding Fundamental Relationship Classical Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Joan S. Birman
    • 1
  • Xiao-Song Lin
    • 1
  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA

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