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http://dx.doi.org/10.4134/BKMS.2015.52.4.1213

SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES  

PARK, HEESANG (DEPARTMENT OF MATHEMATICS KONKUK UNIVERSITY)
STIPSICZ, ANDRAS I. (RENYI INSTITUTE OF MATHEMATICS BUDAPEST)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1213-1223 More about this Journal
Abstract
We examine a family of isolated complex surface singularities whose exceptional curves consist of two complex curves with high genera intersecting transversally. Topological data of smoothings of these singularities are determined. We use these computations to construct symplectic 4-manifolds by replacing neighborhoods of the exceptional curves with smoothings of the singularities.
Keywords
symplectic surgery; surface singularity;
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