On symplectic caps
Symplectic Geometry
2010-09-24 v3 Geometric Topology
Abstract
An important class of contact 3--manifolds are those that arise as links of rational surface singularities with reduced fundamental cycle. We explicitly describe symplectic caps (concave fillings) of such contact 3--manifolds. As an application, we present a new obstruction for such singularities to admit rational homology disk smoothings.
Keywords
Cite
@article{arxiv.0908.3774,
title = {On symplectic caps},
author = {David T. Gay and Andras I. Stipsicz},
journal= {arXiv preprint arXiv:0908.3774},
year = {2010}
}
Comments
17 pages, 6 figures. Section 2 rewritten, proof of Theorem 2.1 corrected