{
  "id": "1703.02258",
  "version": "v1",
  "published": "2017-03-07T07:56:49.000Z",
  "updated": "2017-03-07T07:56:49.000Z",
  "title": "The mapping class group orbits in the framings of compact surfaces",
  "authors": [
    "Nariya Kawazumi"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We compute the mapping class group orbits in the homotopy set of framings of a compact connected oriented surface with non-empty boundary. In the case $g > 1$ the computation is some modification of Johnson's results and certain arguments on the Arf invariant, while we need an extra invariant for the genus $1$ case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-07T07:56:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group orbits",
      "compact surfaces",
      "compact connected oriented surface",
      "homotopy set",
      "non-empty boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}