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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX file

Scientific paper

10.1142/S0217732398002618

The invariant integration method for Chern-Simons theory for gauge group
SU(2) and manifold \Gamma\H^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 L^2 - analytical
and topological torsions of a manifold with boundary.

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