Freely 2-periodic knots have two canonical components
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916156852404224 |
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| author | Boyle, Keegan Rouse, Nicholas |
| author_facet | Boyle, Keegan Rouse, Nicholas |
| contents | We prove that the SL(2, C) character variety of a hyperbolic, freely 2-periodic knot has two canonical components. We also prove that the hyperbolic torsion polynomial of such a knot satisfies a factorization condition which seems to be particularly effective at identifying freely 2-periodic knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Freely 2-periodic knots have two canonical components Boyle, Keegan Rouse, Nicholas Geometric Topology 57M60, 57K10, 57K31 We prove that the SL(2, C) character variety of a hyperbolic, freely 2-periodic knot has two canonical components. We also prove that the hyperbolic torsion polynomial of such a knot satisfies a factorization condition which seems to be particularly effective at identifying freely 2-periodic knots. |
| title | Freely 2-periodic knots have two canonical components |
| topic | Geometric Topology 57M60, 57K10, 57K31 |
| url | https://arxiv.org/abs/2403.07157 |