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

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

doi:10.1017/S0305004122000263

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

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

University of Siena
California Institute of Technology
Academia Sinica - Institute of Mathematics

Risultato della ricerca: Contributo in rivista › Articolo

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 originale	Inglese
pagine (da-a)	199-223
Numero di pagine	25
Rivista	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	174
DOI	https://doi.org/10.1017/S0305004122000263
Stato di pubblicazione	Pubblicato - 2022

Keywords

handlebody knots classification

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10.1017/S0305004122000263

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title = "A table of n-component handlebody links of genus n+1 up to six crossings",

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.",

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author = "Giovanni Bellettini and Giovanni Paolini and Maurizio Paolini and Yi-Sheng Wang",

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AU - Paolini, Giovanni

AU - Paolini, Maurizio

AU - Wang, Yi-Sheng

PY - 2022

Y1 - 2022

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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

UR - http://hdl.handle.net/10807/222066

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DO - 10.1017/S0305004122000263

M3 - Article

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VL - 174

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JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

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

Abstract

Keywords

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