English

On Chern-Simons Matrix Models

Geometric Topology 2007-05-23 v2

Abstract

The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold MM can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert spheres and the trivial connection.

Keywords

Cite

@article{arxiv.math/0601390,
  title  = {On Chern-Simons Matrix Models},
  author = {Stavros Garoufalidis and Marcos Marino},
  journal= {arXiv preprint arXiv:math/0601390},
  year   = {2007}
}

Comments

10 pages, 8 figures