Constructions of $q$-hyperbolic knots
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916221691101184 |
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| author | Kalfagianni, Efstratia Melby, Joseph M. |
| author_facet | Kalfagianni, Efstratia Melby, Joseph M. |
| contents | We use Dehn surgery methods to construct infinite families of hyperbolic knots in the 3-sphere satisfying a weak form of the Turaev--Viro invariants volume conjecture. The results have applications to a conjecture of Andersen, Masbaum, and Ueno about quantum representations of surface mapping class groups. We obtain an explicit family of pseudo-Anosov mapping classes acting on surfaces of any genus and with one boundary component that satisfy the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00682 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constructions of $q$-hyperbolic knots Kalfagianni, Efstratia Melby, Joseph M. Geometric Topology 57K31, 57M50, 57K16 We use Dehn surgery methods to construct infinite families of hyperbolic knots in the 3-sphere satisfying a weak form of the Turaev--Viro invariants volume conjecture. The results have applications to a conjecture of Andersen, Masbaum, and Ueno about quantum representations of surface mapping class groups. We obtain an explicit family of pseudo-Anosov mapping classes acting on surfaces of any genus and with one boundary component that satisfy the conjecture. |
| title | Constructions of $q$-hyperbolic knots |
| topic | Geometric Topology 57K31, 57M50, 57K16 |
| url | https://arxiv.org/abs/2304.00682 |