{
  "id": "math/0302075",
  "version": "v2",
  "published": "2003-02-07T09:44:10.000Z",
  "updated": "2008-08-01T08:16:09.000Z",
  "title": "The variety of characters in PSL(2,C)",
  "authors": [
    "Michael Heusener",
    "Joan Porti"
  ],
  "comment": "Final version published by Sociedad Matematica Mexicana. Boletin",
  "journal": "Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 221--237",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study some basic properties of the variety of characters in PSL(2,C) of a finitely generated group. In particular we give an interpretation of its points as characters of representations. We construct 3-manifolds whose variety of characters has arbitrarily many components that do not lift to SL(2,C). We also study the singular locus of the variety of characters of a free group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-01T08:16:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M05",
      "20C15"
    ],
    "keywords": [
      "characters",
      "singular locus",
      "basic properties",
      "free group",
      "interpretation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2075H"
    }
  }
}