A note on smoothly slice links in $S^2\times S^2$

Abstract

We give an alternative proof of a result of Miyazaki and Yasuhara that there exists links that are not smoothly slice in $S^2\times S^2$. We discuss potential applications to the detection of exotic $S^2\times S^2$. This is a follow-up note to a similar paper for the ${\mathbb{CP}}^2\#\overline{{\mathbb{CP}}^2}$ case.

10 pages, 2 figures; this is a follow-up note to arXiv:2403.00057; v2: minor changes, final version accepted for publication