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Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps
Geometric and Functional Analysis  (IF2.148),  Pub Date : 2020-06-17, DOI: 10.1007/s00039-020-00536-2
Werner Müller, Frédéric Rochon

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.