Vassiliev knot invariants and Chern-Simons perturbation theory to all orders

Details Vassiliev knot invariants and Chern-Simons perturbation theory to all orders Vassiliev knot invariants and Chern-Simons perturbation theory to all orders

1996-03-12

arxiv.org/abs/q-alg/9603010v2

Commun.Math.Phys. 187 (1997) 261-287

Mathematics

Quantum Algebra

Revised version, includes a detailed proof of formula (5.26) for $\log Z$, and several minor changes. 31 pages, 19 figures, ep

Scientific paper

10.1007/s002200050136

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.

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