Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures

Anar Akhmedov; B. Doug Park

Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures

Geometric Topology 2009-09-10 v5 Symplectic Geometry

Authors: Anar Akhmedov , B. Doug Park

Abstract

Let $M$ be $\CP#2\CPb$ , $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer $n\geq 3$ . We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and also an infinite family of pairwise non-diffeomorphic irreducible non-symplectic 4-manifolds homeomorphic to $M$ . We also construct such exotic smooth structures when $M$ is $\CP#4\CPb$ or $3\CP# k \CPb$ for $k=6,8,10$ .

Keywords

exotic manifolds smooth 4-manifolds

Cite

@article{arxiv.math/0701829,
  title  = {Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures},
  author = {Anar Akhmedov and B. Doug Park},
  journal= {arXiv preprint arXiv:math/0701829},
  year   = {2009}
}

Comments

21 pages

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