Infinitely many standard trisection diagrams for Gluck twisting
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915566901526528 |
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| author | Isoshima, Tsukasa |
| author_facet | Isoshima, Tsukasa |
| contents | Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in $S^4$ obtained by a certain method is standard. In this paper, we show that the trisection diagram for the Gluck twist on the spun $(p+1,p)$-torus knot is standard, where $p$ is any integer greater than or equal to 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06778 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Infinitely many standard trisection diagrams for Gluck twisting Isoshima, Tsukasa Geometric Topology Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in $S^4$ obtained by a certain method is standard. In this paper, we show that the trisection diagram for the Gluck twist on the spun $(p+1,p)$-torus knot is standard, where $p$ is any integer greater than or equal to 2. |
| title | Infinitely many standard trisection diagrams for Gluck twisting |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2309.06778 |