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arXiv · 2306.07438

C-boundary links up to six crossings

S. Yu. Orevkov
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Abstract

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.

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S. Yu. Orevkov. 2023-06-12. C-boundary links up to six crossings. https://doi.org/10.17323/1609-4514-2024-24-3-427-440

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