Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps
Differential Geometry
2019-03-18 v1 Geometric Topology
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1903.06199,
title = {Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps},
author = {Werner Mueller and Frédéric Rochon},
journal= {arXiv preprint arXiv:1903.06199},
year = {2019}
}
Comments
37 pages, 1 figure