{
  "id": "math/0508004",
  "version": "v6",
  "published": "2005-07-29T22:32:02.000Z",
  "updated": "2009-04-17T13:55:11.000Z",
  "title": "Intrinsic linking and knotting of graphs in arbitrary 3-manifolds",
  "authors": [
    "Erica Flapan",
    "Hugh Howards",
    "Don Lawrence",
    "Blake Mellor"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 9 August 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 1025-1035",
  "doi": "10.2140/agt.2006.6.1025",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S^3.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2009-04-17T13:55:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10",
      "57M25"
    ],
    "keywords": [
      "intrinsic linking",
      "poincare conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8004F"
    }
  }
}