Exotic smooth structures on 3{CP}²#8{-CP}²
classification
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smoothexoticmanifoldsstructuresadmitsconcludeconnectedconstruct
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Motivated by Stipsicz and Szab\'{o}'s exotic 4-manifolds with b_2^+=3 and b_2^-=8, we construct a family of simply connected smooth 4-manifolds with b_2^+=3 and b_2^-=8. As a corollary, we conclude that the topological 4-manifold 3{CP}^2#8{-CP}^2 admits infinitely many distinct smooth structures.
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