The Configuration space integral for links in R^3

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.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-40.abs.html

References in corpus (5)

• Integral Expressions for the Vassiliev Knot Invariants
• The Fundamental Theorem of Vassiliev Invariants
• Feynman Integral, Knot Invariant and Degree Theory of Maps
• Rationality Results for the Configuration Space Integral of Knots
• The limit configuration space integral for tangles and the Kontsevich integral

Cited by in corpus (4)

• Perturbative expansion of Chern-Simons theory
• Quantization of linear Poisson structures and degrees of maps
• Knot invariants derived from the equivariant linking pairing
• Formality of a higher-codimensional Swiss-Cheese operad