EXOTIC SMOOTH STRUCTURE ON ℂℙ2#13ℂℙ2
EXOTIC SMOOTH STRUCTURE ON ℂℙ2#13ℂℙ2
In this paper, we construct a new exotic smooth 4-manifold X which is homeomorphic, but not diffeomorphic, to <TEX>${\mathbb{C}}\mathbb{P}^2{\sharp}13\overline{\mathbb{C}\mathbb{P}}^2$</TEX>. Moreover the manifold X has vanishing Seiberg-Witten invariants for all <TEX>$Spin^c$</TEX>-structures of X and has no symplectic structure.