Non-commensurable hyperbolic manifolds with the same trace ring (Q2034981)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-commensurable hyperbolic manifolds with the same trace ring |
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Non-commensurable hyperbolic manifolds with the same trace ring (English)
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23 June 2021
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Summary: We prove that there are infinitely many pairwise non-commensurable hyperbolic \(n\)-manifolds that have the same ambient group and trace ring, for any \(n \geq 3\). The manifolds can be chosen compact, if \(n \geq 4\).
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hyperbolic manifold
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nonarithmetic lattice
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trace ring
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non-commensurable
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