{
  "id": "1810.04769",
  "version": "v1",
  "published": "2018-10-10T22:48:30.000Z",
  "updated": "2018-10-10T22:48:30.000Z",
  "title": "Localization in Khovanov homology",
  "authors": [
    "Matthew Stoffregen",
    "Melissa Zhang"
  ],
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in $S^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-10T22:48:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "55P91"
    ],
    "keywords": [
      "khovanov homology",
      "localization",
      "construct equivariant khovanov spectra",
      "burnside functor construction",
      "prime-periodic links"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}