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

Marco Marengon; Clayton McDonald

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

Geometric Topology 2026-03-09 v2

Authors: Marco Marengon , Clayton McDonald

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.

Cite

@article{arxiv.2602.10862,
  title  = {A note on smoothly slice links in $S^2 \times S^2$},
  author = {Marco Marengon and Clayton McDonald},
  journal= {arXiv preprint arXiv:2602.10862},
  year   = {2026}
}

Comments

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

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