{
  "id": "1311.4804",
  "version": "v3",
  "published": "2013-11-19T17:03:51.000Z",
  "updated": "2014-04-07T15:20:13.000Z",
  "title": "Mutation of torsion pairs in cluster categories of Dynkin type $D$",
  "authors": [
    "Sira Gratz"
  ],
  "comment": "Corrected typos, some arguments made more concise, results unchanged",
  "categories": [
    "math.RT"
  ],
  "abstract": "Mutation of torsion pairs in triangulated categories and its combinatorial interpretation for the cluster category of Dynkin type $A_n$ and of type $A_\\infty$ have been studied by Zhou and Zhu. In this paper we present a combinatorial model for mutation of torsion pairs in the cluster category of Dynkin type $D_n$, using Ptolemy diagrams of Dynkin type $D_n$ which were introduced by Holm, J{\\o}rgensen and Rubey.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-07T15:20:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynkin type",
      "cluster category",
      "torsion pairs",
      "combinatorial model",
      "combinatorial interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4804G"
    }
  }
}