A note on PL-disks and rationally slice knots
Geometric Topology
2021-07-20 v1
Abstract
We give infinitely many examples of manifold-knot pairs (Y, J) such that Y bounds an integer homology ball, J does not bound a non-locally-flat PL-disk in any integer homology ball, but J does bound a smoothly embedded disk in a rational homology ball. The proof relies on formal properties of involutive Heegaard Floer homology.
Keywords
Cite
@article{arxiv.2107.09022,
title = {A note on PL-disks and rationally slice knots},
author = {Kristen Hendricks and Jennifer Hom and Matthew Stoffregen and Ian Zemke},
journal= {arXiv preprint arXiv:2107.09022},
year = {2021}
}
Comments
4 pages, 1 figure