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arXiv · 1903.06207

Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds

Werner Mueller·Frédéric Rochon
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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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Werner Mueller, Frédéric Rochon. 2019-03-14. Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds. https://arxiv.org/abs/1903.06207

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