{
  "id": "math/0701829",
  "version": "v5",
  "published": "2007-01-29T02:18:34.000Z",
  "updated": "2009-09-10T00:09:54.000Z",
  "title": "Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures",
  "authors": [
    "Anar Akhmedov",
    "B. Doug Park"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "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 $k=6,8,10$.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-09-10T00:09:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R55",
      "57R17"
    ],
    "keywords": [
      "exotic smooth structures",
      "odd signatures",
      "pairwise non-diffeomorphic irreducible non-symplectic",
      "homeomorphic",
      "irreducible symplectic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1829A"
    }
  }
}