Exotic smooth structure on CP2#13(CP)over-bar(2)

Abstract

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.