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Post Closed as "off topic" by Ryan Budney, Ian Agol, Dan Petersen, Andrew Stacey, S. Carnahan♦

occurred Aug 17, 2011 at 8:44

added open problem tag, removed a few less informative tags

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edited Aug 16, 2011 at 17:31

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gt.geometric-topology ag.algebraic-geometry complex-geometry sg.symplectic-geometry symplectic-topology 4-manifolds differential-topology open-problems

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asked Aug 16, 2011 at 17:12

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Is there a smooth $4$-manifold homeomorphic but not diffemorphic to $CP^2$?

Is there a smooth $4$-manifold homeomorphic but not diffemorphic to $CP^2$? Are there known non-smooth examples homeomorphic $CP^2$?

gt.geometric-topology ag.algebraic-geometry complex-geometry sg.symplectic-geometry symplectic-topology