Seifert cobordisms and the Chen-Yang volume conjecture
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910926540636160 |
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| author | Detcherry, Renaud Kalfagianni, Efstratia Marasinghe, Shashini |
| author_facet | Detcherry, Renaud Kalfagianni, Efstratia Marasinghe, Shashini |
| contents | We study the large $r$ asymptotic behavior of the Turaev-Viro invariants $TV_r(M; e^{\frac{2πi}{r}})$ of 3-manifolds with toroidal boundary, under the operation of gluing a Seifert-fibered 3-manifold along a component of $\partial M$. We show that the Turaev-Viro invariants volume conjecture is closed under this operation. As an application we prove the volume conjecture for all Seifert fibered 3-manifolds with boundary and for large classes of graph 3-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Seifert cobordisms and the Chen-Yang volume conjecture Detcherry, Renaud Kalfagianni, Efstratia Marasinghe, Shashini Geometric Topology Quantum Algebra 57K31, 57K16, 57M2 We study the large $r$ asymptotic behavior of the Turaev-Viro invariants $TV_r(M; e^{\frac{2πi}{r}})$ of 3-manifolds with toroidal boundary, under the operation of gluing a Seifert-fibered 3-manifold along a component of $\partial M$. We show that the Turaev-Viro invariants volume conjecture is closed under this operation. As an application we prove the volume conjecture for all Seifert fibered 3-manifolds with boundary and for large classes of graph 3-manifolds. |
| title | Seifert cobordisms and the Chen-Yang volume conjecture |
| topic | Geometric Topology Quantum Algebra 57K31, 57K16, 57M2 |
| url | https://arxiv.org/abs/2505.01546 |