On the analytic torsion of hyperbolic manifolds of finite volume

Werner Mueller

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arXiv · 1501.07851

On the analytic torsion of hyperbolic manifolds of finite volume

Werner Mueller

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Abstract

In this paper we study the analytic torsion for a complete oriented hyperbolic manifold of finite volume. This requires the definition of a regularized trace of heat operators. We use the Selberg trace formula to study the asymptotic behavior of the regularized trace for small time. The main result of the paper is a new approach to deal with the weighted orbital integrals on the geometric side of the trace formula.

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BibTeX RIS

Werner Mueller. 2015-01-30. On the analytic torsion of hyperbolic manifolds of finite volume. https://arxiv.org/abs/1501.07851

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