{
  "id": "math/0608264",
  "version": "v3",
  "published": "2006-08-10T19:57:54.000Z",
  "updated": "2006-08-30T15:43:10.000Z",
  "title": "A geometric model for cluster categories of type $D_n$",
  "authors": [
    "Ralf Schiffler"
  ],
  "comment": "20 pages (v3: section 5.3 amended, some other editorial changes and typos fixed)",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We give a geometric realization of cluster categories of type $D_n$ using a polygon with $n$ vertices and one puncture in its center as a model. In this realization, the indecomposable objects of the cluster category correspond to certain homotopy classes of paths between two vertices.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-08-30T15:43:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70",
      "18E30",
      "05E15"
    ],
    "keywords": [
      "geometric model",
      "cluster category correspond",
      "homotopy classes",
      "geometric realization",
      "indecomposable objects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8264S"
    }
  }
}