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.
Bellettini, G., Paolini, G., Paolini, M., Wang, Y., A table of n-component handlebody links of genus n+1 up to six crossings, <<MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY>>, 2022; 174 (1): 199-223. [doi:10.1017/S0305004122000263] [https://hdl.handle.net/10807/222066]
A table of n-component handlebody links of genus n+1 up to six crossings
Paolini, Maurizio;
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.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
