{
  "id": "1704.07792",
  "version": "v1",
  "published": "2017-04-25T17:13:54.000Z",
  "updated": "2017-04-25T17:13:54.000Z",
  "title": "The Gordian distance of handlebody-knots and Alexander biquandle colorings",
  "authors": [
    "Tomo Murao"
  ],
  "comment": "20 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give lower bounds for the Gordian distance and the unknotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance $n$ and unknotting number $n$ for any positive integer $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-25T17:13:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M15",
      "57M27"
    ],
    "keywords": [
      "alexander biquandle colorings",
      "gordian distance",
      "unknotting number",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}