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The Configuration space integral for links in R^3

Sylvain Poirier
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Abstract

The perturbative expression of Chern-Simons theory for links in Euclidean 3-space is a linear combination of integrals on configuration spaces. This has successively been studied by Guadagnini, Martellini and Mintchev, Bar-Natan, Kontsevich, Bott and Taubes, D. Thurston, Altschuler and Freidel, Yang and others. We give a self-contained version of this study with a new choice of compactification, and we formulate a rationality result.

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Sylvain Poirier. 2000-05-09. The Configuration space integral for links in R^3. https://doi.org/10.2140/agt.2002.2.1001

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