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A table of n -component handlebody links of genus n+1 up to six crossings.

Authors :
BELLETTINI, GIOVANNI
PAOLINI, GIOVANNI
PAOLINI, MAURIZIO
WANG, YI-SHENG
Source :
Mathematical Proceedings of the Cambridge Philosophical Society. Jan2023, Vol. 174 Issue 1, p199-223. 25p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CLASSIFICATION

Details

Language :
English
ISSN :
03050041
Volume :
174
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Proceedings of the Cambridge Philosophical Society
Publication Type :
Academic Journal
Accession number :
160865988
Full Text :
https://doi.org/10.1017/S0305004122000263