{
  "id": "2309.03814",
  "version": "v1",
  "published": "2023-09-07T16:11:11.000Z",
  "updated": "2023-09-07T16:11:11.000Z",
  "title": "Crossing numbers of cable knots",
  "authors": [
    "Efstratia Kalfagianni",
    "Rob Mcconkey"
  ],
  "comment": "10 pages, 4 Figures. arXiv admin note: substantial text overlap with arXiv:2108.12391",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use the degree of the colored Jones knot polynomials to show that the crossing number of a $(p,q)$-cable of an adequate knot with crossing number $c$ is larger than $q^2\\, c$. As an application we determine the crossing number of $2$-cables of adequate knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-07T16:11:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57K14",
      "57K16"
    ],
    "keywords": [
      "crossing number",
      "cable knots",
      "adequate knot",
      "colored jones knot polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}