On symplectic caps

Details On symplectic caps On symplectic caps

2009-08-26

arxiv.org/abs/0908.3774v3

Mathematics

Symplectic Geometry

17 pages, 6 figures. Section 2 rewritten, proof of Theorem 2.1 corrected

Scientific paper

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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