Published July 13, 2022
| Submitted
Journal Article
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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.
Additional Information
© The Author(s), 2022. Published by Cambridge University Press on behalf of Cambridge Philosophical Society. Received 13 July 2020; revised 04 May 2022; accepted 11 April 2022. Published online by Cambridge University Press: 17 June 2022. The first author benefits from the support of the GNAMPA (Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto Nazionale di Alta Matematica). The second author benefits from the support of the Swiss National Science Foundation Professorship grant PP00P2_179110/1. The fourth author gratefully acknowledges the support from National Center of Theoretical Sciences during the preparation of the manuscript.Attached Files
Submitted - 2003.03748.pdf
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2003.03748.pdf
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Additional details
- Alternative title
- A table of (n,1)-handlebody links to six crossings
- Eprint ID
- 115518
- Resolver ID
- CaltechAUTHORS:20220712-629890000
- Istituto Nazionale di Alta Matematica (INdAM)
- PP00P2_179110/1
- Swiss National Science Foundation (SNSF)
- National Center of Theoretical Sciences
- Created
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2022-07-13Created from EPrint's datestamp field
- Updated
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2022-07-13Created from EPrint's last_modified field