C-boundary links up to six crossings
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910725494013952 |
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| author | Orevkov, S. Yu. |
| author_facet | Orevkov, S. Yu. |
| contents | An oriented link is called $\mathbb C$-boundary if it is realizable as $(\partial B,A\cap\partial B)$ where $A$ is an algebraic curve in $\mathbb C^2$ and $B$ is an embedded $4$-ball. This notion was introduced by Michel Boileau and Lee Rudolph in 1995. In a recent joint paper with N.G. Kruzhilin we gave a complete classification of $\mathbb C$-boundaries with at most 5 crossings. In the present paper a more regular method of construction of $\mathbb C$-boundaries is proposed and the classification is extended up to 6 crossings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07438 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | C-boundary links up to six crossings Orevkov, S. Yu. Geometric Topology An oriented link is called $\mathbb C$-boundary if it is realizable as $(\partial B,A\cap\partial B)$ where $A$ is an algebraic curve in $\mathbb C^2$ and $B$ is an embedded $4$-ball. This notion was introduced by Michel Boileau and Lee Rudolph in 1995. In a recent joint paper with N.G. Kruzhilin we gave a complete classification of $\mathbb C$-boundaries with at most 5 crossings. In the present paper a more regular method of construction of $\mathbb C$-boundaries is proposed and the classification is extended up to 6 crossings. |
| title | C-boundary links up to six crossings |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2306.07438 |