The universal Vassiliev-Kontsevich invariant for framed oriented links

Details The universal Vassiliev-Kontsevich invariant for framed oriented links The universal Vassiliev-Kontsevich invariant for framed oriented links

1994-01-06

arxiv.org/abs/hep-th/9401016v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

We give a generalization of the Reshetikhin-Turaev functor for tangles to get a combinatorial formula for the universal Vassiliev-Kontsevich invariant of framed oriented links which is coincident with the Kontsevich integral. The universal Vassiliev-Kontsevich invariant is constructed using the Drinfeld associator. We prove the uniqueness of the Drinfeld associator. As a corollary one gets the rationality of the Kontsevich integral. Many properties of the universal Vassiliev-Kontsevich invariant are established. Connections to quantum group invariants and to multiple zeta values are discussed.

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