Systoles of hyperbolic hybrids
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909533098475520 |
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| author | Douba, Sami |
| author_facet | Douba, Sami |
| contents | We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifolds constructed by the latter authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Systoles of hyperbolic hybrids Douba, Sami Group Theory Geometric Topology Number Theory We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifolds constructed by the latter authors. |
| title | Systoles of hyperbolic hybrids |
| topic | Group Theory Geometric Topology Number Theory |
| url | https://arxiv.org/abs/2309.16051 |