Dehn surgery and non-separating two-spheres
Geometric Topology
2022-11-02 v1
Abstract
When can surgery on a null-homologous knot K in a rational homology sphere produce a non-separating sphere? We use Heegaard Floer homology to give sufficient conditions for K to be unknotted. We also discuss some applications to homology cobordism, concordance, and Mazur manifolds.
Keywords
Cite
@article{arxiv.2006.11249,
title = {Dehn surgery and non-separating two-spheres},
author = {Jennifer Hom and Tye Lidman},
journal= {arXiv preprint arXiv:2006.11249},
year = {2022}
}
Comments
6 pages