{
  "id": "1706.00471",
  "version": "v1",
  "published": "2017-06-01T19:43:46.000Z",
  "updated": "2017-06-01T19:43:46.000Z",
  "title": "Monodromy in Kazhdan-Lusztig cells in affine type A",
  "authors": [
    "Michael Chmutov",
    "Joel Brewster Lewis",
    "Pavlo Pylyavskyy"
  ],
  "comment": "49 pages, 24 figures",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "We use the affine Robinson-Schensted correspondence to describe the structure of bidirected edges in the Kazhdan-Lusztig cells in affine type A. Equivalently, we give a comprehensive description of the Knuth equivalence classes of affine permutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-01T19:43:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine type",
      "kazhdan-lusztig cells",
      "knuth equivalence classes",
      "affine permutations",
      "affine robinson-schensted correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}