Cobordisms to weakly splittable links

Details Cobordisms to weakly splittable links Cobordisms to weakly splittable links

2011-12-15

arxiv.org/abs/1112.3685v1

Mathematics

Geometric Topology

11 pages

Scientific paper

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.

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