{
  "id": "math/0109164",
  "version": "v2",
  "published": "2001-09-22T07:57:19.000Z",
  "updated": "2001-09-25T10:46:08.000Z",
  "title": "On moves between branched coverings of S^3: The case of four sheets",
  "authors": [
    "Nikos Apostolakis"
  ],
  "comment": "63 pages, lots of pstrics and some xypic pictures, based on the author's PhD thesis at GC of CUNY",
  "categories": [
    "math.GT"
  ],
  "abstract": "A combinatorial presentation of closed orientable 3-manifolds as bi-tricolored links is given together with two versions of a calculus via moves to manipulate bi-tricolored links without changing the represented manifold. That is, we provide a finite set of moves sufficient to relate any two manifestations of the same 3-manifold as a simple 4-sheeted branched covering of S^3.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-09-25T10:46:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M12",
      "57M25"
    ],
    "keywords": [
      "branched covering",
      "finite set",
      "manipulate bi-tricolored links",
      "moves sufficient",
      "combinatorial presentation"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}