Word-length curve counting on the once-punctured torus
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912696493932544 |
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| author | Fisac, David Liu, Mingkun |
| author_facet | Fisac, David Liu, Mingkun |
| contents | We classify closed curves on a once-punctured torus with a single self-intersection from a combinatorial perspective. We determine the number of closed curves with given word-length and with zero, one, and arbitrary self-intersections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Word-length curve counting on the once-punctured torus Fisac, David Liu, Mingkun Geometric Topology Combinatorics Primary: 57K20. Secondary: 05A05, 68R15 We classify closed curves on a once-punctured torus with a single self-intersection from a combinatorial perspective. We determine the number of closed curves with given word-length and with zero, one, and arbitrary self-intersections. |
| title | Word-length curve counting on the once-punctured torus |
| topic | Geometric Topology Combinatorics Primary: 57K20. Secondary: 05A05, 68R15 |
| url | https://arxiv.org/abs/2404.09372 |