{
  "id": "2004.00045",
  "version": "v1",
  "published": "2020-03-31T18:14:45.000Z",
  "updated": "2020-03-31T18:14:45.000Z",
  "title": "Kazhdan-Lusztig polynomials and subexpressions",
  "authors": [
    "Nicolas Libedinsky",
    "Geordie Williamson"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We refine an idea of Deodhar, whose goal is a counting formula for Kazhdan-Lusztig polynomials. This is a consequence of a simple observation that one can use the solution of Soergel's conjecture to make ambiguities involved in defining certain morphisms between Soergel bimodules in characteristic zero (double leaves) disappear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-31T18:14:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10"
    ],
    "keywords": [
      "kazhdan-lusztig polynomials",
      "subexpressions",
      "simple observation",
      "soergels conjecture",
      "soergel bimodules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}