On two-bridge ribbon knots
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917675463081984 |
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| author | Horigome, Sayo Ichihara, Kazuhiro |
| author_facet | Horigome, Sayo Ichihara, Kazuhiro |
| contents | We show that a two-bridge ribbon knot $K(m^2 , m k \pm 1)$ with $m > k >0$ and $(m,k)=1$ admits a symmetric union presentation with partial knot which is a two-bridge knot $K(m,k)$. Similar descriptions for all the other two-bridge ribbon knots are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07539 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On two-bridge ribbon knots Horigome, Sayo Ichihara, Kazuhiro Geometric Topology 57K10 We show that a two-bridge ribbon knot $K(m^2 , m k \pm 1)$ with $m > k >0$ and $(m,k)=1$ admits a symmetric union presentation with partial knot which is a two-bridge knot $K(m,k)$. Similar descriptions for all the other two-bridge ribbon knots are also given. |
| title | On two-bridge ribbon knots |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2402.07539 |