The Configuration space integral for links in R^3

Sylvain Poirier (1)

1 IREMIA - Institut de REcherche en Mathématiques et Informatique Appliquées

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.

Domaines: Topologie géométrique [math.GT]

Sylvain Poirier. The Configuration space integral for links in R^3. Algebraic and Geometric Topology, 2002, 2, pp.1001-1050. ⟨hal-00133202⟩