论文标题

$ n $ - 组成的句柄链接的表格$ n+1 $最多六个交叉

A table of $n$-component handlebody links of genus $n+1$ up to six crossings

论文作者

Bellettini, Giovanni, Paolini, Giovanni, Paolini, Maurizio, Wang, Yi-Sheng

论文摘要

手柄链路是嵌入3个空间的正属的手柄的结合,它概括了经典结理论中的链接概念。在本文中,我们考虑使用一个属2句柄机构和$ n-1 $ solid tori,$ n> 1 $的句柄链接。我们的主要结果是将这种手柄链路的完整分类,具有六个或更小的六个或更少的环境链接。

A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalizes the notion of links in classical knot theory. In this paper, we consider handlebody links with one genus 2 handlebody and $n-1$ solid tori, $n>1$. Our main result is the complete classification of such handlebody links with six crossings or less, up to ambient isotopy.

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