Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps

2019/03/14 by Mueller, Werner, Rochon, Frédéric · 1 citation
#53C35 #58J52 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1903.06199

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.

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• Asymptotics of analytic torsion for congruence quotients of SL(n,ℝ)/SO(n)

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