Chapter

Perspectives in Analysis, Geometry, and Topology

Volume 296 of the series Progress in Mathematics pp 199-212

Date:

On Symplectic Caps

  • David T. GayAffiliated withDepartment of Mathematics, University of GeorgiaRényi Institute of Mathematics Email author 
  • , András I. StipsiczAffiliated withDepartment of Mathematics, University of GeorgiaRényi Institute of Mathematics

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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