Perturbative expansion of Chern-Simons theory

Abstract:

We give an overview of the perturbative expansion of the Chern-Simons path integral. The main goal is to describe how trivalent graphs appear: as they already occur in the perturbative expansion of an analogous finite-dimensional integral, we discuss this case in detail.

Appears in Vol. 8 (2006) of Geometry and Topology Monographs, The interaction of finite-type and Gromov-Witten invariants (Banff 2003), pages 145-166 (available electronically). Also available as math.GT/0504495 from the e-Print archive.

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