Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds (Q2031699)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds |
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Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds (English)
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10 June 2021
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For $d = 2n + 1$, sequences of arithmetic subgroups of SO$_0(d, 1)$ and Spin$(d, 1)$ yielding corresponding hyperbolic manifolds of finite volume are studied. Under appropriate assumptions, it is proved that the torsion of the associated cohomology groups grows exponentially.
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hyperbolic manifolds
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arithmetic subgroups
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torsion
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exponential growth
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