{
  "id": "1106.2934",
  "version": "v1",
  "published": "2011-06-15T10:56:45.000Z",
  "updated": "2011-06-15T10:56:45.000Z",
  "title": "Core curves of triangulated solid tori",
  "authors": [
    "Marc Lackenby"
  ],
  "comment": "26 pages, 10 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that in any triangulation of a solid torus, there is a pre-core curve that lies in the 2-skeleton and that intersects the interior of each face in at most 10 straight arcs. By definition, a pre-core curve is a simple closed curve that becomes a core curve when a collar is attached to the boundary of the solid torus. This theorem imposes restrictions on the possible Riemannian metrics on a solid torus. It also has applications in knot theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-15T10:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10"
    ],
    "keywords": [
      "solid torus",
      "triangulated solid tori",
      "pre-core curve",
      "theorem imposes restrictions",
      "simple closed curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.2934L"
    }
  }
}