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A table of n-component handlebody links of genus n+1 up to six crossings
Published online by Cambridge University Press: 17 June 2022
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 174 , Issue 1 , January 2023 , pp. 199 - 223
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Cambridge Philosophical Society
References
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