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Exotic smooth structures on small 4-manifolds

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Let M be either \(\mathbb{CP}^{2}\#3\overline{\mathbb{CP}}^{2}\) or \(3\mathbb{CP}^{2}\#5\overline{\mathbb{CP}}^{2}\). We construct the first example of a simply-connected irreducible symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA

    Anar Akhmedov

  2. Department of Pure Mathematics, University of Waterloo , Waterloo, ON, N2L 3G1, Canada

    B. Doug Park

Authors
  1. Anar Akhmedov
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  2. B. Doug Park
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Correspondence to B. Doug Park.

Additional information

Dedicated to Ronald J. Stern on the occasion of his sixtieth birthday

Mathematics Subject Classification (2000)

Primary 57R55; Secondary 57R17, 57M05

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Akhmedov, A., Park, B. Exotic smooth structures on small 4-manifolds. Invent. math. 173, 209–223 (2008). https://doi.org/10.1007/s00222-008-0118-x

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  • DOI: https://doi.org/10.1007/s00222-008-0118-x

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