Quasipositivity and braid index of pretzel knots
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915076280156160 |
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| author | Lewark, Lukas |
| author_facet | Lewark, Lukas |
| contents | This short note is about three-stranded pretzel knots that have an even number of crossings in one of the strands. We calculate the braid index of such knots and determine which of them are quasipositive. The main tools are the Morton-Franks-Williams inequalities, and Khovanov-Rozansky concordance homomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_05347 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quasipositivity and braid index of pretzel knots Lewark, Lukas Geometric Topology 57K10, 57K14, 57K18 This short note is about three-stranded pretzel knots that have an even number of crossings in one of the strands. We calculate the braid index of such knots and determine which of them are quasipositive. The main tools are the Morton-Franks-Williams inequalities, and Khovanov-Rozansky concordance homomorphisms. |
| title | Quasipositivity and braid index of pretzel knots |
| topic | Geometric Topology 57K10, 57K14, 57K18 |
| url | https://arxiv.org/abs/2205.05347 |