{
  "id": "math/0108202",
  "version": "v2",
  "published": "2001-08-29T13:24:19.000Z",
  "updated": "2002-03-20T08:59:55.000Z",
  "title": "Branched Coverings, Triangulations, and 3-Manifolds",
  "authors": [
    "Ivan Izmestiev",
    "Michael Joswig"
  ],
  "comment": "v2: several changes to the text body; minor corrections",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "A canonical branched covering over each sufficiently good simplicial complex is constructed. Its structure depends on the combinatorial type of the complex. In this way, each closed orientable 3-manifold arises as a branched covering over the 3-sphere from some triangulation of S^3. This result is related to a theorem of Hilden and Montesinos. The branched coverings introduced admit a rich theory in which the group of projectivities plays a central role.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-03-20T08:59:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M12",
      "57M25",
      "57Q99",
      "05C15",
      "05C10"
    ],
    "keywords": [
      "branched covering",
      "triangulation",
      "structure depends",
      "central role",
      "simplicial complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8202I"
    }
  }
}