On Chern-Simons Matrix Models

Abstract

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.

10 pages, 8 figures

References in corpus (5)

• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• A Contribution of the Trivial Connection to Jones Polynomial and Witten's Invariant of 3d Manifolds I
• Chern-Simons Theory on S^1-Bundles: Abelianisation and q-deformed Yang-Mills Theory
• A Generating Function for Fatgraphs
• Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras, and their asymptotic expansions

Cited by in corpus (5)

• Analyticity of the Free Energy of a Closed 3-Manifold
• Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality
• Bubbling Calabi-Yau geometry from matrix models
• Introduction to the Gopakumar-Vafa Large N Duality
• A Givental-like Formula and Bilinear Identities for Tensor Models