A family of non-split topologically slice links with arbitrarily large smooth slice genus

Abstract

We construct an infinite family of topologically slice 2--component boundary links ${\ell }_i$, none of which is smoothly concordant to a split link, such that $g_4({\ell }_i)=i$.

10 pages, 7 figures; v2 includes minor changes based on referee comments, to appear in Proceedings of the AMS