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Exotic smooth structures on small 4-manifolds
Authors:Anar Akhmedov  B. Doug Park
Affiliation:(1) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA;(2) Department of Pure Mathematics, University of Waterloo , Waterloo, ON, N2L 3G1, Canada
Abstract:Let M be either $mathbb{CP}^{2}#3overline{mathbb{CP}}^{2}$ or $3mathbb{CP}^{2}#5overline{mathbb{CP}}^{2}$. We construct the first example of a simply-connected irreducible symplectic 4-manifold that is homeomorphic but not diffeomorphic to M. Dedicated to Ronald J. Stern on the occasion of his sixtieth birthday Mathematics Subject Classification (2000)  Primary 57R55; Secondary 57R17, 57M05
Keywords:
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