{
  "id": "1602.03856",
  "version": "v1",
  "published": "2016-02-11T19:49:56.000Z",
  "updated": "2016-02-11T19:49:56.000Z",
  "title": "A Colored Khovanov Homotopy Type For Links, And Its Tail For The Unknot",
  "authors": [
    "Michael Willis"
  ],
  "comment": "13 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In a previous paper, the author showed that the Khovanov homotopy types of the torus links $T(n,m)$ stabilize as $m\\rightarrow\\infty$. In this sequel, we use similar techniques to extend this result in two directions. First, we construct a stable colored version of the Khovanov homotopy type whose reduced cohomology recovers the colored Khovanov homology of the link. Second, in the case of the $T(n,\\infty)$ as above, we show a further stabilization as $n\\rightarrow\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-11T19:49:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "colored khovanov homotopy type",
      "torus links",
      "similar techniques",
      "colored khovanov homology",
      "directions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160203856W"
    }
  }
}