{
  "id": "math/0510537",
  "version": "v2",
  "published": "2005-10-25T20:22:19.000Z",
  "updated": "2006-06-05T20:41:11.000Z",
  "title": "Angle structures and normal surfaces",
  "authors": [
    "Feng Luo",
    "Stephan Tillmann"
  ],
  "comment": "17 pages, 3 figures, to appear in Trans. Amer. Math. Soc",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let M be the interior of a compact 3-manifold with non-empty boundary, and T be an ideal (topological) triangulation of M. This paper describes necessary and sufficient conditions for the existence of angle structures, semi-angle structures and generalised angle structures on (M; T) respectively in terms of a generalised Euler characteristic function on the solution space of normal surface theory of (M; T). This extends previous work of Kang and Rubinstein, and is itself generalised to a more general setting for 3-dimensional pseudo-manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-06-05T20:41:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N10"
    ],
    "keywords": [
      "normal surface theory",
      "generalised euler characteristic function",
      "generalised angle structures",
      "solution space",
      "semi-angle structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10537L"
    }
  }
}