Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures

Anar Akhmedov, B. Doug Park

Let $M$ be $\CP#2\CPb$, $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer $n\ge 3$. We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and also an infinite fam…