Cobordisms to weakly splittable links

Friedl, Stefan; Powell, Mark

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: Oct 4, 2017
• 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
• Public URL: https://durham-repository.worktribe.com/output/1347973
• Related Public URLs: https://arxiv.org/abs/1112.3685