Cobordisms to weakly splittable links
Geometric Topology
2012-10-10 v2
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.
Cite
@article{arxiv.1112.3685,
title = {Cobordisms to weakly splittable links},
author = {Stefan Friedl and Mark Powell},
journal= {arXiv preprint arXiv:1112.3685},
year = {2012}
}
Comments
11 pages, final version, to be published by the Proc. Amer. Math. Soc