On Symplectic Caps

Chapter
Part of the Progress in Mathematics book series (PM, volume 296)

Abstract

An important class of contact 3-manifolds comprises 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

Three-manifold Symplectic cap Handle attachment Link Open book 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of GeorgiaAthensUSA
  2. 2.Rényi Institute of MathematicsBudapestHungary

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