Turaev--Viro invariants and profinite completions of surface bundles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908602297483264 |
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| author | Yang, Qirong |
| author_facet | Yang, Qirong |
| contents | We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16941 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Turaev--Viro invariants and profinite completions of surface bundles Yang, Qirong Geometric Topology We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups. |
| title | Turaev--Viro invariants and profinite completions of surface bundles |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2510.16941 |