Communications in Mathematical Physics

, Volume 168, Issue 1, pp 1–22 | Cite as

Combinatorial expression for universal Vassiliev link invariant

  • Sergey Piunikhin


A general model similar to R-matrix-type models for link invariants is constructed. It contains all R-matrix invariants and is a generating function for “universal” Vassiliev link invariants. This expression is simpler than Kontsevich's expression for the same quantity, because it is defined combinatorially and does not contain any integrals, except for an expression for “the universal Drinfeld's associator”.


Neural Network Statistical Physic Complex System General Model Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Sergey Piunikhin
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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