A table of n-component handlebody links of genus n+1 up to six crossings [article]

Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini, Yi-Sheng Wang
2020 arXiv   pre-print
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.
arXiv:2003.03748v2 fatcat:lyqqkyzdebeb7bm6z4bgzuxzeu