TY - JOUR
T1 - A table of n-component handlebody links of genus n+1 up to six crossings
AU - Bellettini, Giovanni
AU - Paolini, Giovanni
AU - Paolini, Maurizio
AU - Wang, Yi-Sheng
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - handlebody knots classification
KW - handlebody knots classification
UR - http://hdl.handle.net/10807/222066
U2 - 10.1017/S0305004122000263
DO - 10.1017/S0305004122000263
M3 - Article
SN - 0305-0041
VL - 174
SP - 199
EP - 223
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
ER -