Journal of the Korean Mathematical Society (대한수학회지)

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EXOTIC SMOOTH STRUCTURE ON ℂℙ2#13ℂℙ2

  • Published : 2006.07.01
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Abstract

In this paper, we construct a new exotic smooth 4-manifold X which is homeomorphic, but not diffeomorphic, to ${\mathbb{C}}\mathbb{P}^2{\sharp}13\overline{\mathbb{C}\mathbb{P}}^2$. Moreover the manifold X has vanishing Seiberg-Witten invariants for all $Spin^c$-structures of X and has no symplectic structure.

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References

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