Bounds on Systoles and Homotopy Complexity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914873437323264 |
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| author | Gelander, Tsachik Vollrath, Paul |
| author_facet | Gelander, Tsachik Vollrath, Paul |
| contents | We give an elementary proof of a weak variant of the homotopy type conjecture from [Gel04]. The proof relies on Belolipetskys estimate on the systole in terms of the volume which is a consequence of Prasads volume formula. In particular we extend the estimate established in [B20] for hyperbolic manifolds to general arithmetic manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_10677 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bounds on Systoles and Homotopy Complexity Gelander, Tsachik Vollrath, Paul Group Theory We give an elementary proof of a weak variant of the homotopy type conjecture from [Gel04]. The proof relies on Belolipetskys estimate on the systole in terms of the volume which is a consequence of Prasads volume formula. In particular we extend the estimate established in [B20] for hyperbolic manifolds to general arithmetic manifolds. |
| title | Bounds on Systoles and Homotopy Complexity |
| topic | Group Theory |
| url | https://arxiv.org/abs/2106.10677 |