{
  "id": "math/0411335",
  "version": "v3",
  "published": "2004-11-15T17:43:43.000Z",
  "updated": "2005-08-30T20:54:20.000Z",
  "title": "Non-singular graph-manifolds of dimension 4",
  "authors": [
    "A. Mozgova"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-43.abs.html",
  "journal": "Algebr. Geom. Topol. 5 (2005) 1051-1073",
  "categories": [
    "math.GT"
  ],
  "abstract": "A compact 4-dimensional manifold is a non-singular graph-manifold if it can be obtained by the glueing T^2-bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graph-structure is called reduced. We prove that any homotopy equivalence of closed oriented 4-manifolds with reduced nonsingular graph-structures is homotopic to a diffeomorphism preserving the structures.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-08-30T20:54:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57N35"
    ],
    "keywords": [
      "non-singular graph-manifold",
      "compact surfaces",
      "reduced nonsingular graph-structures",
      "homotopy equivalence",
      "negative euler characteristics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}