On the analytic torsion of hyperbolic manifolds of finite volume

2015/01/30 by Werner Mueller, Mueller, Werner
Mathematics · #58J52 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:58J52

paper · pdf · doi:10.48550/arxiv.1501.07851

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

arxiv created 2015/01/30 · arxiv updated 2015/02/02

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.

Citations

• Analytic torsion of complete hyperbolic manifolds of finite volume

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