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arXiv · hep-th/9704035

Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant

Andrei A. Bytsenko·Luciano Vanzo·Sergio Zerbini
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Abstract

The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional manifold ${\cal H}^3$ is expressed in terms of Selberg zeta-functions, making use of the associated Selberg trace formulae. Applications to the evaluation of the semiclassical asymptotics of the Witten's invariant for the Chern-Simons theory with gauge group SU(2) as well as to the sum over topologies in 3-dimensional quantum gravity are presented.

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Andrei A. Bytsenko, Luciano Vanzo, Sergio Zerbini. 1997-08-22. Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant. https://doi.org/10.1016/s0550-3213(97)00566-x

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