{
  "id": "1908.00082",
  "version": "v1",
  "published": "2019-07-31T20:30:34.000Z",
  "updated": "2019-07-31T20:30:34.000Z",
  "title": "A refinement of Khovanov homology",
  "authors": [
    "Andrew Lobb",
    "Liam Watson"
  ],
  "comment": "39 pages, 33 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-31T20:30:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "refinement",
      "refine khovanov homology",
      "detect mutation",
      "involution",
      "filtrations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}