{
  "id": "1106.3095",
  "version": "v2",
  "published": "2011-06-15T20:31:26.000Z",
  "updated": "2012-01-25T15:14:16.000Z",
  "title": "The crossing number of satellite knots",
  "authors": [
    "Marc Lackenby"
  ],
  "comment": "26 pages, 10 figures; v2: a significant gap in the proof has been filled",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion knot.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-25T15:14:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "crossing number",
      "satellite knot"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.3095L"
    }
  }
}