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Exotic smooth structure on $\Bbb {CP}^2\sharp 13 \overline {\Bbb {CP}}^2$(eng)

https://doi.org/10.4134/JKMS.2006.43.4.691


In this paper, we construct a new exotic smooth 4-manifold X which is homeomorphic, but not diffeomorphic, to CP2#13 (CP) over bar (2). Moreover the manifold X has vanishing Seiberg-Witten invariants for all Spin(c)-structures of X and has no symplectic structure.


In this paper, we construct a new exotic smooth 4-manifold X which is homeomorphic, but not diffeomorphic, to CP2#13 (CP) over bar (2). Moreover the manifold X has vanishing Seiberg-Witten invariants for all Spin(c)-structures of X and has no symplectic structure.