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Explicit formulas for the Vassiliev knot invariants

1999/05/26 by Svetlana D. Tyurina, Tyurina, Svetlana D.
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #math.AT #math.QA

paper · pdf · doi:10.48550/arxiv.math/9905161

The brief version of this paper is in materials of International Conference "Monodromie et équations différentielles en théorie des singularités et des représentations de groupes."

arxiv created 1999/05/26 · openalex publication_date 1999/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Vassiliev's knot invariants can be computed in different ways but many of them as Kontsevich integral are very difficult. We consider more visual diagram formulas of the type Polyak-Viro and give new diagram formula for the two basic Vassiliev invariant of degree 4.

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