1-loop equals torsion for two-bridge knots
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917835857461248 |
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| author | Garoufalidis, Stavros Yoon, Seokbeom |
| author_facet | Garoufalidis, Stavros Yoon, Seokbeom |
| contents | Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic 3-manifold, proved that its constant (1-loop) term is a topological invariant and conjectured that it equals to the adjoint Reidemeister torsion. We prove this conjecture for hyperbolic 2-bridge knots by combining the work of Ohtsuki--Takata with an explicit computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 1-loop equals torsion for two-bridge knots Garoufalidis, Stavros Yoon, Seokbeom Geometric Topology Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic 3-manifold, proved that its constant (1-loop) term is a topological invariant and conjectured that it equals to the adjoint Reidemeister torsion. We prove this conjecture for hyperbolic 2-bridge knots by combining the work of Ohtsuki--Takata with an explicit computation. |
| title | 1-loop equals torsion for two-bridge knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2411.03801 |