The configuration space integral for links in ℝ3

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.

Keywords

Feynman diagrams, Vassiliev invariants, configuration space, compactification

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 57J28

References

Forward citations

Publication

Received: 30 November 2002

Revised: 15 July 2002

Accepted: 21 July 2002

Published: 5 November 2002

Authors

Sylvain Poirier
3 bis rue Auguste Dollfus 76600 Le Havre France

Volume 2, issue 2 (2002)

Sylvain Poirier