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arXiv · 2003.03748

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

Giovanni Bellettini·Giovanni Paolini·Maurizio Paolini·Yi-Sheng Wang
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Abstract

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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Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini, Yi-Sheng Wang. 2020-03-22. A table of $n$-component handlebody links of genus $n+1$ up to six crossings. https://arxiv.org/abs/2003.03748

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