{
  "id": "1904.09055",
  "version": "v1",
  "published": "2019-04-19T03:06:33.000Z",
  "updated": "2019-04-19T03:06:33.000Z",
  "title": "Khovanov-Rozansky homology for infinite multi-colored braids",
  "authors": [
    "Michael Willis"
  ],
  "comment": "37 pages, 13 figures",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We define a limiting $\\mathfrak{sl}_N$ Khovanov-Rozansky homology for semi-infinite positive multi-colored braids, and we show that this limiting homology categorifies a highest-weight projector for a large class of such braids. This effectively completes the extension of Cautis' similar result for infinite twist braids, begun in our earlier papers with Islambouli and Abel. We also present several similar results for other families of semi-infinite and bi-infinite multi-colored braids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-19T03:06:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "khovanov-rozansky homology",
      "similar result",
      "infinite twist braids",
      "semi-infinite positive multi-colored braids",
      "bi-infinite multi-colored braids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}