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Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds
Published 14 Mar 2019 in math.DG, math.GT, and math.NT | (1903.06207v2)
Abstract: For d=2n+1 a positive odd integer, we consider sequences of arithmetic subgroups of SO_0(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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