{
  "id": "2007.01269",
  "version": "v1",
  "published": "2020-07-02T17:23:50.000Z",
  "updated": "2020-07-02T17:23:50.000Z",
  "title": "Khovanov homology detects the figure-eight knot",
  "authors": [
    "John A. Baldwin",
    "Nathan Dowlin",
    "Adam Simon Levine",
    "Tye Lidman",
    "Radmila Sazdanovic"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over $\\mathbb{Q}$) detects the figure-eight knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-02T17:23:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K18"
    ],
    "keywords": [
      "khovanov homology detects",
      "figure-eight knot",
      "dowlins spectral sequence",
      "knot floer homology",
      "reduced khovanov homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}