{
  "id": "1909.01003",
  "version": "v1",
  "published": "2019-09-03T08:42:46.000Z",
  "updated": "2019-09-03T08:42:46.000Z",
  "title": "Untwisting 3-strand torus knots",
  "authors": [
    "Sebastian Baader",
    "Ian Banfield",
    "Lukas Lewark"
  ],
  "comment": "8 pages, 3 figures, comments welcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4-strand and 6-strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4-genus and the Seifert genus of torus knots from 2/3 to 14/27.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-03T08:42:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "torus knots",
      "untwisting",
      "signature bound",
      "mccoys twisting method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}