{
  "id": "1411.6755",
  "version": "v1",
  "published": "2014-11-25T07:57:23.000Z",
  "updated": "2014-11-25T07:57:23.000Z",
  "title": "On Fenchel-Nielsen Coordinates of Surface Group Representations into SU(3,1)",
  "authors": [
    "Krishnendu Gongopadhyay",
    "Shiv Parsad"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $\\Sigma_g$ be a compact, orientable surface of genus $g \\geq 2$. We ask the question of parametrizing discrete, faithful, totally loxodromic representations in the deformation space $Hom(\\pi_1(\\Sigma_g), {\\rm SU}(3,1))//{\\rm SU}(3,1)$. We show that such a representation, under some hypothesis, can be specified by $30g-30$ real parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T07:57:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surface group representations",
      "fenchel-nielsen coordinates",
      "deformation space",
      "totally loxodromic representations",
      "real parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6755G"
    }
  }
}