Mazur-type manifolds with L-space boundaries
classification
🧮 math.GT
math.SG
keywords
boundarymanifoldmazur-typemustspaceballboundariesfloer
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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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