{
  "id": "math/0112308",
  "version": "v2",
  "published": "2001-12-31T14:42:48.000Z",
  "updated": "2002-01-03T17:05:57.000Z",
  "title": "Homological properties of graph manifolds",
  "authors": [
    "P. Svetlov"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider the following properties of compact oriented irreducible graph-manifolds: to contain a $\\pi_1$-injective surface (immersed, virtually embedded or embedded), be (virtually) fibered over $S^1$, and to carry a metric of nonpositive sectional curvature. It turns out that all these properties can be described from a unified point of view.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-01-03T17:05:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M10",
      "57N10",
      "57N35"
    ],
    "keywords": [
      "graph manifolds",
      "homological properties",
      "compact oriented irreducible graph-manifolds",
      "nonpositive sectional curvature",
      "unified point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12308S"
    }
  }
}