{
  "id": "1506.09066",
  "version": "v1",
  "published": "2015-06-30T12:51:19.000Z",
  "updated": "2015-06-30T12:51:19.000Z",
  "title": "Rotation number and lifts of a Fuchsian action of the modular group on the circle",
  "authors": [
    "Yoshifumi Matsuda"
  ],
  "comment": "12 pages, to appear in Adv. Stud. Pure Math",
  "categories": [
    "math.DS",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We characterize the semi-conjugacy class of a Fuchsian action of the modular group on the circle in terms of rotation numbers of two standard generators and that of their product. We also show that among lifts of a Fuchsian action of the modular group, only 5-fold lift admits a similar characterization. These results indicate similarity and difference between rotation number and linear character.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-30T12:51:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E45",
      "37C85",
      "37E10"
    ],
    "keywords": [
      "rotation number",
      "fuchsian action",
      "modular group",
      "semi-conjugacy class",
      "similar characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}