{
  "id": "2403.15190",
  "version": "v1",
  "published": "2024-03-22T13:20:09.000Z",
  "updated": "2024-03-22T13:20:09.000Z",
  "title": "A geometric realization of Koszul duality for graded gentle algebras",
  "authors": [
    "Zixu Li",
    "Yu Qiu",
    "Yu Zhou"
  ],
  "comment": "29 pages, 17 figures. Any comments are welcome",
  "categories": [
    "math.RT",
    "math.CT",
    "math.RA"
  ],
  "abstract": "We show that the Koszul functor of a homologically smooth graded gentle algebra can be realized as the half rotation in a geometric model. As a byproduct, we prove an intersection-dim formula involving the Koszul functor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-22T13:20:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "koszul duality",
      "geometric realization",
      "koszul functor",
      "homologically smooth graded gentle algebra",
      "half rotation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}