{
  "id": "1107.1030",
  "version": "v1",
  "published": "2011-07-06T06:01:27.000Z",
  "updated": "2011-07-06T06:01:27.000Z",
  "title": "Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations",
  "authors": [
    "Henry Segerman",
    "Stephan Tillmann"
  ],
  "comment": "19 pages, 8 figures, to appear in the proceedings of Jacofest",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation are essential. This result is extended to a generalisation of the hyperbolic gluing equations, which enables the construction of hyperbolic cone-manifold structures on N with singular locus contained in the 1-skeleton of the triangulation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-06T06:01:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N10"
    ],
    "keywords": [
      "generalised hyperbolic gluing equations",
      "ideal triangulation",
      "essential edges",
      "pseudo-developing maps",
      "hyperbolic cone-manifold structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1030S"
    }
  }
}