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 a genus two handle- body and n - 1 solid tori, n > 1. Our main result is the classication of such handlebody links with six crossings or less, up to ambient isotopy.
Bellettini, G., Paolini, G., Paolini, M., Wang, Y.S. (2022). A table of n-component handlebody links of genus n+1 up to six crossings. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY [10.1017/S0305004122000263].
A table of n-component handlebody links of genus n+1 up to six crossings
G. Bellettini;
2022-01-01
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 a genus two handle- body and n - 1 solid tori, n > 1. Our main result is the classication of such handlebody links with six crossings or less, up to ambient isotopy.
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https://hdl.handle.net/11365/1205373