{
  "id": "0806.0326",
  "version": "v1",
  "published": "2008-06-02T16:34:54.000Z",
  "updated": "2008-06-02T16:34:54.000Z",
  "title": "The cyclic cycle complex of a surface",
  "authors": [
    "Allen Hatcher"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "A contractible simplicial complex is constructed that parametrizes different ways of representing a fixed one-dimensional homology class in a closed orientable surface by isotopy classes of systems of disjoint oriented simple closed curves. This is a variant on an earlier construction of Bestvina-Bux-Margalit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-02T16:34:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "cyclic cycle complex",
      "fixed one-dimensional homology class",
      "disjoint oriented simple closed curves",
      "isotopy classes",
      "contractible simplicial complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0326H"
    }
  }
}