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.
"The configuration space integral for links in $\mathbb R^3$." Algebr. Geom. Topol. 2 (2) 1001 - 1050, 2002. https://doi.org/10.2140/agt.2002.2.1001