Smoothly slice knots with smoothly non-approximable topological slice discs
Geometric Topology
2025-07-08 v2
Abstract
We construct infinitely many smoothly slice knots having topological slice discs that are non-approximable by smooth slice discs.
Keywords
Cite
@article{arxiv.2506.03705,
title = {Smoothly slice knots with smoothly non-approximable topological slice discs},
author = {Min Hoon Kim and Mark Powell},
journal= {arXiv preprint arXiv:2506.03705},
year = {2025}
}
Comments
4 pages, 1 figure, to appear in Proc. Amer. Math. Soc, Incorporated feedback from Gompf; allowed an isotopy in the definition of non-approximable discs