{
  "id": "0805.2042",
  "version": "v3",
  "published": "2008-05-14T12:09:11.000Z",
  "updated": "2009-12-10T11:09:27.000Z",
  "title": "Braid ordering and knot genus",
  "authors": [
    "Tetsuya Ito"
  ],
  "comment": "10 pages, 6 figures, the main result is improved",
  "categories": [
    "math.GT"
  ],
  "abstract": "The genus of knots is a one of the fundamental invariant and can be seen as a complexity of knots. In this paper, we give a lower bound of genus using Dehornoy floor, which is a measure of complexity of braids in terms of braid ordering.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-12-10T11:09:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "knot genus",
      "braid ordering",
      "dehornoy floor",
      "fundamental invariant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.2042I"
    }
  }
}