{
  "id": "2301.03906",
  "version": "v1",
  "published": "2023-01-10T11:08:12.000Z",
  "updated": "2023-01-10T11:08:12.000Z",
  "title": "Fenchel-Nielsen coordinates for SL(3,C) representations",
  "authors": [
    "Rodrigo Dávila Figueroa",
    "John R Parker"
  ],
  "comment": "31 pages, 0 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define Fenchel-Nielsen coordinates for representations of surface groups to ${\\rm SL}(3,{\\mathbb C})$. We also show how these coordinates relate to the classical Fenchel-Nielsen coordinates and to their generalisations by Kourouniotis, Tan, Goldman, Zhang and Parker-Platis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-10T11:08:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H10",
      "22E40"
    ],
    "keywords": [
      "representations",
      "define fenchel-nielsen coordinates",
      "surface groups",
      "coordinates relate",
      "classical fenchel-nielsen coordinates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}