{
  "id": "0906.0761",
  "version": "v3",
  "published": "2009-06-03T19:20:29.000Z",
  "updated": "2009-12-02T17:28:38.000Z",
  "title": "Derived equivalences from mutations of quivers with potential",
  "authors": [
    "Bernhard Keller",
    "Dong Yang"
  ],
  "comment": "section 2.16 added, 48 pages, with an appendix by B. Keller",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We show that Derksen-Weyman-Zelevinsky's mutations of quivers with potential yield equivalences of suitable 3-Calabi-Yau triangulated categories. Our approach is related to that of Iyama-Reiten and Koszul dual to that of Kontsevich-Soibelman. It improves on previous work by Vitoria. In the appendix, the first-named author studies pseudo-compact derived categories of certain pseudo-compact dg algebras.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-12-02T17:28:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30"
    ],
    "keywords": [
      "derived equivalences",
      "author studies pseudo-compact derived categories",
      "first-named author studies pseudo-compact",
      "potential yield equivalences",
      "pseudo-compact dg algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0761K"
    }
  }
}