{
  "id": "1604.06597",
  "version": "v1",
  "published": "2016-04-22T10:11:08.000Z",
  "updated": "2016-04-22T10:11:08.000Z",
  "title": "A Note on a Map from Knots to $2$-Knots",
  "authors": [
    "Vassily Olegovich Manturov"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural \"knot\" counterpart for \"braid\" theory of groups $G_{n}^{k}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-22T10:11:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "higher dimensions",
      "counterpart"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160406597O"
    }
  }
}