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Mazur-type manifolds with $L$-space boundaries

Published 24 Jul 2018 in math.GT and math.SG | (1807.08880v1)

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.

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