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Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps (1903.06199v1)
Published 14 Mar 2019 in math.DG, math.GT, and math.SP
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.