Dehn surgery and non-separating two-spheres
arXiv:2006.11249 · doi:10.2140/obs.2022.5.145
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.
6 pages