{
  "id": "math/0108220",
  "version": "v1",
  "published": "2001-08-31T07:48:20.000Z",
  "updated": "2001-08-31T07:48:20.000Z",
  "title": "Non-complex symplectic 4-manifolds with $b_{2}^{+}=1$",
  "authors": [
    "Jongil Park"
  ],
  "comment": "AMS-LaTeX file, 7 pages",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "In this short article we give a criterion whether a given minimal symplectic 4-manifold with $b_{2}^{+}=1$ having a torsion-free canonical class is rational or ruled. As a corollary, we confirm that most of homotopy elliptic surfaces $E(1}_{K}$, K is a fibered knot in $S^3$, constructed by R. Fintushel and R. Stern are minimal symplectic 4-manifolds with $b_{2}^{+}=1$ which do not admit a complex structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-31T07:48:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R17",
      "57R57"
    ],
    "keywords": [
      "non-complex symplectic",
      "minimal symplectic",
      "homotopy elliptic surfaces",
      "short article",
      "complex structure"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8220P"
    }
  }
}