On Chern-Simons Matrix Models

Details On Chern-Simons Matrix Models On Chern-Simons Matrix Models

2006-01-16

arxiv.org/abs/math/0601390v2

Mathematics

Geometric Topology

10 pages, 8 figures

Scientific paper

The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ 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.

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