Mazur-type manifolds with $L$-space boundaries

Abstract

In this note, we prove that if the boundary of a Mazur-type $4$-manifold is an irreducible Heegaard Floer homology $L$-space, then the manifold must be the $4$-ball, and the boundary must be the $3$-sphere. We use this to give a new proof of Gabai's Property R.

arXiv comment5 pages, 3 figures

References in corpus (1)

• Corks, Plugs and exotic structures

Cited by in corpus (1)

• Dehn surgery and non-separating two-spheres