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arXiv · 1903.06199

Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps

Werner Mueller·Frédéric Rochon
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Abstract

On an odd-dimensional oriented hyperbolic manifold of finite volume with strongly acyclic coefficient systems, we derive a formula relating analytic torsion with the Reidemeister torsion of the Borel-Serre compactification of the manifold. In a companion paper, this formula is used to derive exponential growth of torsion in cohomology of arithmetic groups.

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Werner Mueller, Frédéric Rochon. 2019-03-14. Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps. https://arxiv.org/abs/1903.06199

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