{
  "id": "1605.05394",
  "version": "v1",
  "published": "2016-05-17T23:02:22.000Z",
  "updated": "2016-05-17T23:02:22.000Z",
  "title": "Two-fold quasi-alternating links, Khovanov homology and instanton homology",
  "authors": [
    "Christopher Scaduto",
    "Matthew Stoffregen"
  ],
  "comment": "29 pages, 14 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce a class of links strictly containing quasi-alternating links for which mod 2 reduced Khovanov homology is always thin. We compute the framed instanton homology for double branched covers of such links. Aligning certain dotted markings on a link with bundle data over the branched cover, we also provide many computations of framed instanton homology in the presence of a non-trivial real 3-plane bundle. We discuss evidence for a spectral sequence from the twisted Khovanov homology of a link with mod 2 coefficients to the framed instanton homology of the double branched cover. We also discuss the relevant mod 4 gradings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T23:02:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "khovanov homology",
      "two-fold quasi-alternating links",
      "framed instanton homology",
      "strictly containing quasi-alternating links",
      "double branched cover"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}