Jennifer Hom, Tye Lidman
Published 2020-06-19Version 1
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.
On the mapping cone for Heegaard Floer homology of Dehn surgeries in $S^3$ and a resulting genus bound
Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot
A concordance invariant from the Floer homology of +/- 1 surgeries
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