On the analytic torsion of hyperbolic manifolds of finite volume

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.

arXiv comment23 pages. arXiv admin note: text overlap with arXiv:1110.4065

Cited by in corpus (1)

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