Genus non-increasing totally positive unknotting number
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929393830461440 |
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| author | Ito, Tetsuya |
| author_facet | Ito, Tetsuya |
| contents | The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are positive-to-negative crossing changes that do not increase the genus. We show that the genus non-increasing totally positive unknotting number can be arbitrary large for genus one knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Genus non-increasing totally positive unknotting number Ito, Tetsuya Geometric Topology The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are positive-to-negative crossing changes that do not increase the genus. We show that the genus non-increasing totally positive unknotting number can be arbitrary large for genus one knots. |
| title | Genus non-increasing totally positive unknotting number |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2406.14918 |