Exotic Smooth Structures on Small 4-Manifolds

Abstract

Let M be either CP^2#3CP^2bar or 3CP^2#5CP^2bar. We construct the first example of a simply-connected symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.

11 pages

References in corpus (5)

• Simply connected symplectic 4-manifolds with $b_2^{+}=1$ and $c_1^2=2$
• An exotic smooth structure on CP^2+6CP^2-bar
• Reverse engineering small 4-manifolds
• Minimality and irreducibility of symplectic four-manifolds
• Constructing infinitely many smooth structures on small 4-manifolds

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• Branched coverings of $C{P}^2$ and other basic 4-manifolds
• Deformation of Singular Fibers of Genus $2$ Fibrations and Small Exotic Symplectic $4$-Manifolds
• New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations
• A cork of the rational surface with the second Betti number 9