3-braid knots with maximal 4-genus
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914731148705792 |
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| author | Baader, Sebastian Lewark, Lukas Misev, Filip Truöl, Paula |
| author_facet | Baader, Sebastian Lewark, Lukas Misev, Filip Truöl, Paula |
| contents | We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for the topological 4-genus of positive and strongly quasipositive 3-braid knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11918 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | 3-braid knots with maximal 4-genus Baader, Sebastian Lewark, Lukas Misev, Filip Truöl, Paula Geometric Topology 57K10 We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for the topological 4-genus of positive and strongly quasipositive 3-braid knots. |
| title | 3-braid knots with maximal 4-genus |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2303.11918 |