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Exotic smooth structures on 3CP2#8-CP2

Jongil Park

math.GTarXiv:math/0507085

Abstract

Motivated by Stipsicz and Szabó's exotic 4-manifolds with b2+=3 and b2-=8, we construct a family of simply connected smooth 4-manifolds with b2+=3 and b2-=8. As a corollary, we conclude that the topological 4-manifold 3CP2#8-CP2 admits infinitely many distinct smooth structures.

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