A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalises the notion of links in classical knot theory. In this paper, we consider handlebody links with a genus two handlebody and n - 1 solid tori, n > 1. Our main result is the classification of such handlebody links with six crossings or less, up to ambient isotopy.
A table of n-component handlebody links of genus n+1 up to six crossings / Giovanni Bellettini; Giovanni Paolini; Maurizio Paolini; Yi-Sheng Wang. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - STAMPA. - 174:1(2023), pp. 199-223. [10.1017/S0305004122000263]
A table of n-component handlebody links of genus n+1 up to six crossings
Giovanni Paolini;
2023
Abstract
A handlebody link is a union of handlebodies of positive genus embedded in 3-space, which generalises the notion of links in classical knot theory. In this paper, we consider handlebody links with a genus two handlebody and n - 1 solid tori, n > 1. Our main result is the classification of such handlebody links with six crossings or less, up to ambient isotopy.| File | Dimensione | Formato | |
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