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arxiv: 0908.3774 · v3 · pith:R4JLL4AEnew · submitted 2009-08-26 · 🧮 math.SG · math.GT

On symplectic caps

classification 🧮 math.SG math.GT
keywords capscontactmanifoldsrationalsingularitiessymplecticadmitapplication
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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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