Feller, P., Park, J. and Powell, M. (2023) The Z-genus of boundary links. Revista Matemática Complutense, 36(1), pp. 1-25. (doi: 10.1007/s13163-022-00424-3)
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Abstract
The Z-genus of a link L in S3 is the minimal genus of a locally flat, embedded, connected surface in D4 whose boundary is L and with the fundamental group of the complement infinite cyclic. We characterise the Z-genus of boundary links in terms of their single variable Blanchfield 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.
Item Type: | Articles |
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Additional Information: | PF gratefully acknowledges support by the SNSF Grant 181199. MP was partially supported by EPSRC New Investigator grant EP/T028335/1 and EPSRC New Horizons grant EP/V04821X/1. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Powell, Professor Mark |
Authors: | Feller, P., Park, J., and Powell, M. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Revista Matemática Complutense |
Publisher: | Springer |
ISSN: | 1139-1138 |
ISSN (Online): | 988-2807 |
Published Online: | 15 April 2022 |
Copyright Holders: | Copyright © 2022 The Authors |
First Published: | First published in Revista Matemática Complutense 36(1): 1-25 |
Publisher Policy: | Reproduced under a Creative Commons License |
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