{
  "id": "1311.3996",
  "version": "v1",
  "published": "2013-11-15T22:56:13.000Z",
  "updated": "2013-11-15T22:56:13.000Z",
  "title": "Classification of real rational knots of low degree in the 3-sphere",
  "authors": [
    "Shane D'Mello"
  ],
  "comment": "26 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we classify, up to rigid isotopy, non-singular real rational curves of degrees less than or equal to 6 in a quadric homeomorphic to the 3-sphere. We also study their connections with rigid isotopy classes of real rational knots in $\\mathbb{RP}^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-15T22:56:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "14P25",
      "14H50"
    ],
    "keywords": [
      "real rational knots",
      "low degree",
      "non-singular real rational curves",
      "classification",
      "rigid isotopy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3996D"
    }
  }
}