{
  "id": "math/0301219",
  "version": "v1",
  "published": "2003-01-20T18:46:51.000Z",
  "updated": "2003-01-20T18:46:51.000Z",
  "title": "A calculus for ideal triangulations of three-manifolds with embedded arcs",
  "authors": [
    "Gennaro Amendola"
  ],
  "comment": "32 pages, 30 figures",
  "journal": "Math. Nachr. 278-9 (2005) 975-994",
  "doi": "10.1002/mana.200310285",
  "categories": [
    "math.GT"
  ],
  "abstract": "Refining the notion of an ideal triangulation of a compact three-manifold, we provide in this paper a combinatorial presentation of the set of pairs (M,a), where M is a three-manifold and a is a collection of properly embedded arcs. We also show that certain well-understood combinatorial moves are sufficient to relate to each other any two refined triangulations representing the same (M,a). Our proof does not assume the Matveev-Pergallini calculus for ideal triangulations, and actually easily implies this calculus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-20T18:46:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15"
    ],
    "keywords": [
      "ideal triangulation",
      "well-understood combinatorial moves",
      "combinatorial presentation",
      "compact three-manifold",
      "matveev-pergallini calculus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1219A"
    }
  }
}