Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916690978144256 |
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| author | Marasinghe, Shashini |
| author_facet | Marasinghe, Shashini |
| contents | We study the large $r$ asymptotic behaviour of the Turaev-Viro invariants of oriented Seifert fibered 3-manifolds at the root $q=e^\frac{2πi}{r}$. As an application, we prove the volume conjecture for large families of oriented Seifert fibered 3-manifolds with empty and non-empty boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10682 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture Marasinghe, Shashini Geometric Topology Quantum Algebra We study the large $r$ asymptotic behaviour of the Turaev-Viro invariants of oriented Seifert fibered 3-manifolds at the root $q=e^\frac{2πi}{r}$. As an application, we prove the volume conjecture for large families of oriented Seifert fibered 3-manifolds with empty and non-empty boundary. |
| title | Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture |
| topic | Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2504.10682 |