{
  "id": "math/0306117",
  "version": "v1",
  "published": "2003-06-06T11:39:09.000Z",
  "updated": "2003-06-06T11:39:09.000Z",
  "title": "Simplicial structures of knot complements",
  "authors": [
    "Aleksandar Mijatovic"
  ],
  "comment": "14 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "It was recently shown that there exists an explicit bound for the number of Pachner moves needed to connect any two triangulation of any Haken 3-manifold which contains no fibred sub-manifolds as strongly simple pieces of its JSJ-decomposition. In this paper we prove a generalisation of that result to all knot complements. The explicit formula for the bound is in terms of the numbers of tetrahedra in the two triangulations. This gives a conceptually trivial algorithm for recognising any knot complement among all 3-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-06T11:39:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57Q15"
    ],
    "keywords": [
      "knot complement",
      "simplicial structures",
      "strongly simple pieces",
      "pachner moves",
      "conceptually trivial algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6117M"
    }
  }
}