Analytic Torsion on Hyperbolic Manifolds and the Semiclassical Approximation for Chern-Simons Theory

Abstract

The invariant integration method for Chern-Simons theory for gauge group SU(2) and manifold 3 is verified in the semiclassical approximation. The semiclassical limit for the partition function associated with a connected sum of hyperbolic 3-manifolds is presented. We discuss briefly L2 - analytical and topological torsions of a manifold with boundary.

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