On Universal Vassiliev Invariants

Abstract

Using properties of ordered exponentials and the definition of the Drinfeld associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we prove that the analytic and the combinatorial definitions of the universal Vassiliev invariants of links are equivalent.

33 pages

References in corpus (2)

• Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory
• The universal R-matrix and its associated quantum algebra as functionals of the classical r-matrix: the $s{l}_2$ case

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• A spin network generalization of the Jones Polynomial and Vassiliev invariants
• Vassiliev invariants and writhe for periodic orbits of Axiom A flows