Mazur-type manifolds with $L$-space boundaries
Geometric Topology
2018-07-25 v1 Symplectic Geometry
Abstract
In this note, we prove that if the boundary of a Mazur-type -manifold is an irreducible Heegaard Floer homology -space, then the manifold must be the -ball, and the boundary must be the -sphere. We use this to give a new proof of Gabai's Property R.
Cite
@article{arxiv.1807.08880,
title = {Mazur-type manifolds with $L$-space boundaries},
author = {James Conway and Bülent Tosun},
journal= {arXiv preprint arXiv:1807.08880},
year = {2018}
}
Comments
5 pages, 3 figures