Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds

2019/03/14 by Mueller, Werner, Rochon, Frédéric
#53C35 #55N25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1903.06207

Abstract

For d=2n+1 a positive odd integer, we consider sequences of arithmetic subgroups of SO₀(d,1) and Spin(d,1) yielding corresponding hyperbolic manifolds of finite volume and show that, under appropriate and natural assumptions, the torsion of the associated cohomology groups grows exponentially.

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