Combinatorial expression for universal Vassiliev link invariant

Abstract

The most general R-matrix type state sum model for link invariants is constructed. It contains in itself all R-matrix invariants and is a generating function for "universal" Vassiliev link invariants. This expression is more simple 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".

20 pages

References in corpus (1)

• Link Invariants of Finite Type and Perturbation Theory

Cited by in corpus (9)

• Combinatorial quantization of the Hamiltonian Chern-Simons theory I
• The universal Vassiliev-Kontsevich invariant for framed oriented links
• The Fundamental Theorem of Vassiliev Invariants
• Cyclotomic associators and finite type invariants for tangles in the solid torus
• Universal representations of braid and braid-permutation groups
• On Associators and the Grothendieck-Teichmuller Group I
• From simplicial Chern-Simons theory to the shadow invariant I
• From simplicial Chern-Simons theory to the shadow invariant II
• From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant