{
  "id": "2207.14187",
  "version": "v1",
  "published": "2022-07-28T15:55:26.000Z",
  "updated": "2022-07-28T15:55:26.000Z",
  "title": "The $(2,1)$-cable of the figure-eight knot is not smoothly slice",
  "authors": [
    "Irving Dai",
    "Sungkyung Kang",
    "Abhishek Mallick",
    "JungHwan Park",
    "Matthew Stoffregen"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that the $(2,1)$-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-28T15:55:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K18",
      "57M12"
    ],
    "keywords": [
      "figure-eight knot",
      "smoothly slice",
      "equivariant homology ball",
      "branched double cover bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}