English

The Configuration space integral for links in R^3

Geometric Topology 2014-10-01 v3

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.

Cite

@article{arxiv.math/0005085,
  title  = {The Configuration space integral for links in R^3},
  author = {Sylvain Poirier},
  journal= {arXiv preprint arXiv:math/0005085},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T16:32:36.271Z