Symplectic 4-manifolds via symplectic surgery on complex surface singularities

Heesang Park; Andr\'{a}s I. Stipsicz

doi:10.4134/BKMS.2015.52.4.1213

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(4): 1213-1223

Printed July 31, 2015

https://doi.org/10.4134/BKMS.2015.52.4.1213

Symplectic 4-manifolds via symplectic surgery on complex surface singularities

Heesang Park and Andr\'{a}s I. Stipsicz

Konkuk University, R\'enyi Institute of Mathematics

Abstract

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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

MSC numbers: 57R17, 14B05