{
  "id": "math/0412120",
  "version": "v2",
  "published": "2004-12-06T19:45:13.000Z",
  "updated": "2005-01-21T10:56:32.000Z",
  "title": "A stable classification of Lefschetz fibrations",
  "authors": [
    "Denis Auroux"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper6.abs.html",
  "journal": "Geom. Topol. 9(2005) 203-217",
  "categories": [
    "math.GT",
    "math.GR",
    "math.SG"
  ],
  "abstract": "We study the classification of Lefschetz fibrations up to stabilization by fiber sum operations. We show that for each genus there is a `universal' fibration f^0_g with the property that, if two Lefschetz fibrations over S^2 have the same Euler-Poincare characteristic and signature, the same numbers of reducible singular fibers of each type, and admit sections with the same self-intersection, then after repeatedly fiber summing with f^0_g they become isomorphic. As a consequence, any two compact integral symplectic 4-manifolds with the same values of (c_1^2, c_2, c_1.[w], [w]^2) become symplectomorphic after blowups and symplectic sums with f^0_g.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-21T10:56:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R17",
      "53D35"
    ],
    "keywords": [
      "lefschetz fibrations",
      "stable classification",
      "fiber sum operations",
      "compact integral symplectic",
      "admit sections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12120A"
    }
  }
}