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

Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini, Yi-Sheng Wang

Risultato della ricerca: Contributo in rivistaArticolo in rivista

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.
Lingua originaleEnglish
pagine (da-a)199-223
Numero di pagine25
RivistaMathematical Proceedings of the Cambridge Philosophical Society
Volume174
DOI
Stato di pubblicazionePubblicato - 2022

Keywords

  • handlebody knots classification

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