Explicit formulas for the Vassiliev knot invariants

Mathematics – Algebraic Topology

Scientific paper

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The brief version of this paper is in materials of International Conference "Monodromie et \'equations diff\'erentielles en th

Scientific paper

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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