Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2014.07.31
  • Published : 2015.07.31
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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.

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References

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