Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ANTI-SYMPLECTIC INVOLUTIONS ON NON-KÄHLER SYMPLECTIC 4-MANIFOLDS

  • Cho, Yong-Seung (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES, DEPARTMENT OF MATHEMATICS EWHA WOMANS UNIVERSITY) ;
  • Hong, Yoon-Hi (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES)
  • Published : 2007.07.30
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Abstract

In this note we construct an anti-symplectic involution on the non-$K\ddot{a}hler$, symplectic 4-manifold which is constructed by Thurston and show that the quotient of the Thurston's 4-manifold is not symplectic. Also we construct a non-$K\ddot{a}hler$, symplectic 4-manifold using the Gomph's symplectic sum method and an anti-symplectic involution on the non-$K\ddot{a}hler$, symplectic 4-manifold.

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References

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