1996/03/31 by Daniel Altschuler, Daniel R. Altschuler, Laurent Freidel · 2 citations
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #math.QA #q-alg
paper · pdf · doi:10.1007/s002200050136
published as Commun.Math.Phys. 187 (1997) 261-287 · Revised version, includes a detailed proof of formula (5.26) for $\log Z$, and several minor changes. 31 pages, 19 figures, epsf.sty, LateX
arxiv created 1996/11/06 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
At any order, the perturbative expansion of the expectation values of Wilson lines in Chern-Simons theory gives certain integral expressions. We show that they all lead to knot invariants. Moreover these are finite type invariants whose order coincides with the order in the perturbative expansion. Together they combine to give a universal Vassiliev invariant.