Geodesic
The configuration space integral for links in ℝ3
Poirier, Sylvain1
13 bis rue Auguste Dollfus, 76600 Le Havre, France
Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1001-1050
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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.

DOI : 10.2140/agt.2002.2.1001
Keywords: Feynman diagrams, Vassiliev invariants, configuration space, compactification

Poirier, Sylvain  1

1 3 bis rue Auguste Dollfus, 76600 Le Havre, France 
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Poirier, Sylvain. The configuration space integral for links in ℝ3. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1001-1050. doi: 10.2140/agt.2002.2.1001

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