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Cobordisms to weakly splittable links

Friedl, Stefan; Powell, Mark

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Authors

Stefan Friedl

Mark Powell



Abstract

We show that if a link L with non-zero Alexander polynomial admits a locally flat cobordism to a `weakly m-split link', then the cobordism must have genus at least (m-1)/2. This generalises a recent result of J. Pardon.

Citation

Friedl, S., & Powell, M. (2014). Cobordisms to weakly splittable links. Proceedings of the American Mathematical Society, 142(2), 703-712. https://doi.org/10.1090/s0002-9939-2013-11792-2

Journal Article Type Article
Online Publication Date Nov 4, 2013
Publication Date Feb 1, 2014
Deposit Date Oct 3, 2017
Publicly Available Date Mar 28, 2024
Journal Proceedings of the American Mathematical Society
Print ISSN 0002-9939
Electronic ISSN 1088-6826
Publisher American Mathematical Society
Peer Reviewed Peer Reviewed
Volume 142
Issue 2
Pages 703-712
DOI https://doi.org/10.1090/s0002-9939-2013-11792-2
Related Public URLs https://arxiv.org/abs/1112.3685

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Copyright Statement
© Year American Mathematical Society. First published in Proceedings of the American Mathematical Society in 142 (2014), 703-712, published by the American Mathematical Society.




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