Vassiliev Invariants in the Context of Chern-Simons Gauge Theory

Details Vassiliev Invariants in the Context of Chern-Simons Gauge Theory Vassiliev Invariants in the Context of Chern-Simons Gauge Theory

1998-12-13

arxiv.org/abs/hep-th/9812105v2

Physics

High Energy Physics

High Energy Physics - Theory

Invited lecture at the Workshop on New Developments in Algebraic Topology, Faro 1998, 17 pages, latex, epsf, 7 figures, 2 tabl

Scientific paper

We summarize the progress made during the last few years on the study of Vassiliev invariants from the point of view of perturbative Chern-Simons gauge theory. We argue that this approach is the most promising one to obtain a combinatorial universal formula for Vassiliev invariants. The combinatorial expressions for the two primitive Vassiliev invariants of order four, recently obtained in this context, are reviewed and rewritten in terms of Gauss diagrams.

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