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.
arXiv comment6 pages
References in corpus (10)
- Holomorphic disks and genus bounds
- Knot Floer homology and rational surgeries
- Holomorphic disks and three-manifold invariants: properties and applications
- Symplectic fillability of tight contact structures on torus bundles
- Khovanov module and the detection of unlinks
- Product Formulae for Ozsvath-Szabo 4-manifold Invariants
- Bordered Floer homology and incompressible surfaces
- Non-separating spheres and twisted Heegaard Floer homology
- Manifolds with small Heegaard Floer ranks
- Mazur-type manifolds with -space boundaries