Abstract
We use the famous knot-theoretic consequence of Freedman’s disc theorem — knots with trivial Alexander polynomial bound a locally flat disc in the –ball — to prove the following generalization: the degree of the Alexander polynomial of a knot is an upper bound for twice its topological slice genus. We provide examples of knots where this determines the topological slice genus.
Citation
Peter Feller. "The degree of the Alexander polynomial is an upper bound for the topological slice genus." Geom. Topol. 20 (3) 1763 - 1771, 2016. https://doi.org/10.2140/gt.2016.20.1763
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