Anar Akhmedov, B. Doug Park
Published 2007-01-29, updated 2009-09-10Version 5
Let $M$ be $\CP#2\CPb$, $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer $n\geq 3$. We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and also an infinite family of pairwise non-diffeomorphic irreducible non-symplectic 4-manifolds homeomorphic to $M$. We also construct such exotic smooth structures when $M$ is $\CP#4\CPb$ or $3\CP# k \CPb$ for $k=6,8,10$.
Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1
Exotic Smooth Structures on Small 4-Manifolds
Exotic smooth structures on (2n+2l-1)CP^2#(2n+4l-1)(-CP^2)
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