On symplectic caps
David T. Gay, Andras I. Stipsicz

TL;DR
This paper explicitly describes symplectic caps for certain contact 3-manifolds arising from rational surface singularities and introduces a new obstruction to their rational homology disk smoothings.
Contribution
It provides explicit descriptions of symplectic caps for contact 3-manifolds linked to rational surface singularities and introduces a novel obstruction for smoothings.
Findings
Explicit descriptions of symplectic caps for specific contact 3-manifolds.
A new obstruction criterion for rational homology disk smoothings.
Application to the study of rational surface singularities.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Numerical Analysis Techniques · Advanced Combinatorial Mathematics
