{
  "id": "1807.08795",
  "version": "v1",
  "published": "2018-07-23T19:25:45.000Z",
  "updated": "2018-07-23T19:25:45.000Z",
  "title": "Khovanov homotopy type and periodic links",
  "authors": [
    "Maciej Borodzik",
    "Wojciech Politarczyk",
    "Marithania Silvero"
  ],
  "comment": "44 pages, 11 figures. Comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given an $m$-periodic link $L\\subset S^3$, we show that the Khovanov spectrum $\\X_L$ constructed by Lipshitz and Sarkar admits a group action. We relate the Borel cohomology of $\\X_L$ to the equivariant Khovanov homology of $L$ constructed by the second author. The action of Steenrod algebra on the cohomology of $\\X_L$ gives an extra structure of the periodic link.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-23T19:25:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "periodic link",
      "khovanov homotopy type",
      "equivariant khovanov homology",
      "extra structure",
      "khovanov spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}