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arXiv · 1212.3161

Asymptotics of analytic torsion for hyperbolic three--manifolds

Jean Raimbault
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Abstract

We prove that for certain sequences of hyperbolic three--manifolds with cusps which converge to hyperbolic three--space in a weak ("Benjamini-Schramm") sense and certain coefficient systems the regularized analytic torsion approximates the $L^2$-torsion of the universal cover under an additional hypothesis. We also prove an asymptotic equality between the former and some Reidemeister torsion of the truncated manifolds.

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Jean Raimbault. 2012-12-13. Asymptotics of analytic torsion for hyperbolic three--manifolds. https://arxiv.org/abs/1212.3161

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