Cobordisms to weakly splittable links
(2013)
Journal Article
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
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.