{
  "id": "2210.02001",
  "version": "v1",
  "published": "2022-10-05T03:23:37.000Z",
  "updated": "2022-10-05T03:23:37.000Z",
  "title": "Intersection numbers on fibrations and Catalan numbers",
  "authors": [
    "Rimma Hämäläinen",
    "Jason Lo",
    "Edward Morales"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-05T03:23:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J27",
      "14F08",
      "05E14",
      "05A15"
    ],
    "keywords": [
      "intersection numbers",
      "catalan numbers appear",
      "autoequivalence group action",
      "bridgeland stability manifold",
      "elliptic surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}