{
  "id": "1201.5859",
  "version": "v1",
  "published": "2012-01-27T18:30:37.000Z",
  "updated": "2012-01-27T18:30:37.000Z",
  "title": "Gauss diagrams of real and virtual knots in the solid torus",
  "authors": [
    "Arnaud Mortier"
  ],
  "comment": "19 pages, 15 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define a new kind of Gauss diagrams to describe knots in the solid torus with projections in the annulus. We see that it provides an efficient tool for showing that a knot diagram can be fully recovered from its decorated Gauss diagram, and we use it to establish a characterization of the decorated Gauss diagrams of closed braids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-27T18:30:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99"
    ],
    "keywords": [
      "solid torus",
      "virtual knots",
      "decorated gauss diagram",
      "knot diagram",
      "efficient tool"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.5859M"
    }
  }
}