Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps

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.

37 pages, 1 figure

References in corpus (3)

• A torsion Jacquet--Langlands correspondence
• Analytic torsion and R-torsion of Witt representations on manifolds with cusps
• A gluing formula for the analytic torsion on hyperbolic manifolds with cusps