%0 Journal Article
%T The degree of the Alexander polynomial is an upper bound for the topological slice genus
%A Peter Feller
%J Mathematics
%D 2015
%I arXiv
%X In this short note, we use the famous knot-theoretic consequence of Freedman's disc theorem--knots with trivial Alexander polynomial bound a locally-flat disc in the 4-ball--to prove the following generalization. The degree of the Alexander polynomial of a knot is an upper bound for its topological slice genus. We provide examples of knots where this determines the topological slice genus.
%U http://arxiv.org/abs/1504.01064v1