A formula for the volume of two-bridge knots
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910364205056000 |
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| author | Marche, Julien |
| author_facet | Marche, Julien |
| contents | We give a closed formula for the volume of a two-bridge knot, more precisely for its Bloch invariant. We obtain this formula without triangulating the complement: instead, we derive it from the Hopf formula for the second homology of the fundamental group of the complement and a systematic use of Fox derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07133 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A formula for the volume of two-bridge knots Marche, Julien Geometric Topology 57K10 We give a closed formula for the volume of a two-bridge knot, more precisely for its Bloch invariant. We obtain this formula without triangulating the complement: instead, we derive it from the Hopf formula for the second homology of the fundamental group of the complement and a systematic use of Fox derivatives. |
| title | A formula for the volume of two-bridge knots |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2403.07133 |