Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866913380548214784 |
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| author | Di Cerbo, Luca F. Hull, Michael |
| author_facet | Di Cerbo, Luca F. Hull, Michael |
| contents | We prove the Singer conjecture for extended graph manifolds and pure complex-hyperbolic higher graph manifolds with residually finite fundamental groups. In real dimension three, where a result of Hempel ensures that the fundamental group is always residually finite, we then provide a Price type inequality proof of a well-known result of Lott and Lueck. Finally, we give several classes of higher graph manifolds which do indeed have residually finite fundamental groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_09236 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture Di Cerbo, Luca F. Hull, Michael Differential Geometry Geometric Topology We prove the Singer conjecture for extended graph manifolds and pure complex-hyperbolic higher graph manifolds with residually finite fundamental groups. In real dimension three, where a result of Hempel ensures that the fundamental group is always residually finite, we then provide a Price type inequality proof of a well-known result of Lott and Lueck. Finally, we give several classes of higher graph manifolds which do indeed have residually finite fundamental groups. |
| title | Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture |
| topic | Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2108.09236 |