{
  "id": "1607.03650",
  "version": "v1",
  "published": "2016-07-13T09:14:20.000Z",
  "updated": "2016-07-13T09:14:20.000Z",
  "title": "The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces",
  "authors": [
    "Francis Bonahon",
    "Inkang Kim"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let P(S) be the space of convex projective structures on a surface S with negative Euler characteristic. Goldman and Bonahon-Dreyer constructed two different sets of global coordinates for P(S), both associated to a pair of pants decomposition of the surface S. The article explicitly describes the coordinate change between these two parametrizations. Most of the arguments are concentrated in the case where S is a pair of pants, in which case the Bonahon-Dreyer coordinates are actually due to Fock-Goncharov.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-13T09:14:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M10",
      "57S25"
    ],
    "keywords": [
      "convex projective structures",
      "fock-goncharov coordinates",
      "coordinate change",
      "negative euler characteristic",
      "pants decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}