Homology growth, hyperbolization, and fibering
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911759091105792 |
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| author | Avramidi, Grigori Okun, Boris Schreve, Kevin |
| author_facet | Avramidi, Grigori Okun, Boris Schreve, Kevin |
| contents | We introduce a hyperbolic reflection group trick which builds closed aspherical manifolds out of compact ones and preserves hyperbolicity, residual finiteness, and -- for almost all primes $p$ -- $\mathbb{F}_p$-homology growth above the middle dimension. We use this trick, embedding theory and manifold topology to construct Gromov hyperbolic $7$-manifolds that do not virtually fiber over a circle out of graph products of large finite groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_06112 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homology growth, hyperbolization, and fibering Avramidi, Grigori Okun, Boris Schreve, Kevin Geometric Topology Group Theory 20F65 (Primary) 57M07 (Secondary) We introduce a hyperbolic reflection group trick which builds closed aspherical manifolds out of compact ones and preserves hyperbolicity, residual finiteness, and -- for almost all primes $p$ -- $\mathbb{F}_p$-homology growth above the middle dimension. We use this trick, embedding theory and manifold topology to construct Gromov hyperbolic $7$-manifolds that do not virtually fiber over a circle out of graph products of large finite groups. |
| title | Homology growth, hyperbolization, and fibering |
| topic | Geometric Topology Group Theory 20F65 (Primary) 57M07 (Secondary) |
| url | https://arxiv.org/abs/2301.06112 |