Exotic smooth structures on 4-manifolds with zero signature

Anar Akhmedov; B. Doug Park

doi:10.1007/s00222-010-0254-y

Exotic smooth structures on 4-manifolds with zero signature

Geometric Topology 2015-05-19 v2 Symplectic Geometry

Authors: Anar Akhmedov , B. Doug Park

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Abstract

For every integer $k\geq 2$ , we construct infinite families of mutually nondiffeomorphic irreducible smooth structures on the topological $4$ -manifolds $(2k-1)(S^2\times S^2)$ and $(2k-1)(\CP#\CPb)$ , the connected sums of $2k-1$ copies of $S^2\times S^2$ and $\CP#\CPb$ .

Keywords

smooth 4-manifolds exotic manifolds holonomy

Cite

@article{arxiv.1006.0293,
  title  = {Exotic smooth structures on 4-manifolds with zero signature},
  author = {Anar Akhmedov and B. Doug Park},
  journal= {arXiv preprint arXiv:1006.0293},
  year   = {2015}
}

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6 pages

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