On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds
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arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866909444715053056 |
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| author | Rapoport, Paul |
| author_facet | Rapoport, Paul |
| contents | We use model theory to study relative profinite rigidity of $3$-manifold groups and show that given any residually finite group $Γ$ with finite character variety and single-cusped finite volume hyperbolic $3$-manifold $M$, cofinitely many Dehn fillings $M_{p/q}$ are profinitely distinguishable from $Γ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_10445 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds Rapoport, Paul Algebraic Topology Logic 57K31 (Primary), 12L12 (Secondary), 57K32 57K10, 20E18 We use model theory to study relative profinite rigidity of $3$-manifold groups and show that given any residually finite group $Γ$ with finite character variety and single-cusped finite volume hyperbolic $3$-manifold $M$, cofinitely many Dehn fillings $M_{p/q}$ are profinitely distinguishable from $Γ$. |
| title | On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds |
| topic | Algebraic Topology Logic 57K31 (Primary), 12L12 (Secondary), 57K32 57K10, 20E18 |
| url | https://arxiv.org/abs/2102.10445 |