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Exotic Smooth Structures on Small 4-Manifolds

Geometric Topology 2009-11-13 v4 Symplectic Geometry

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.

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Cite

@article{arxiv.math/0701664,
  title  = {Exotic Smooth Structures on Small 4-Manifolds},
  author = {Anar Akhmedov and B. Doug Park},
  journal= {arXiv preprint arXiv:math/0701664},
  year   = {2009}
}

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11 pages