Skip to main content

Research Repository

Advanced Search

The Z-Genus of Boundary Links

Feller, Peter; Park, Junghwan; Powell, Mark

The Z-Genus of Boundary Links Thumbnail


Authors

Peter Feller

Junghwan Park

Mark Powell



Abstract

The Z-genus of a link L in S3 is the minimal genus of a locally at, embedded, connected surface in D4 whose boundary is L and with the fundamental group of the complement innite cyclic. We characterise the Z-genus of boundary links in terms of their single variable Blancheld forms, and we present some applications. In particular, we show that a variant of the shake genus of a knot, the Z-shake genus, equals the Z-genus of the knot.

Citation

Feller, P., Park, J., & Powell, M. (2023). The Z-Genus of Boundary Links. Revista Matemática Complutense, 36(1), 1-25. https://doi.org/10.1007/s13163-022-00424-3

Journal Article Type Article
Acceptance Date Mar 1, 2022
Online Publication Date Apr 15, 2022
Publication Date 2023-01
Deposit Date Mar 3, 2022
Publicly Available Date Mar 3, 2023
Journal Revista Matemática Complutense
Print ISSN 1139-1138
Electronic ISSN 1988-2807
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 36
Issue 1
Pages 1-25
DOI https://doi.org/10.1007/s13163-022-00424-3
Related Public URLs https://arxiv.org/abs/2012.14367

Files

Published Journal Article (467 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





You might also like



Downloadable Citations