{
  "id": "1602.03825",
  "version": "v1",
  "published": "2016-02-11T19:04:00.000Z",
  "updated": "2016-02-11T19:04:00.000Z",
  "title": "SL(n,C)- Representation spaces of Knot Groups",
  "authors": [
    "Michael Heusener"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The first part of this article is a general introduction to the the theory of representation spaces of discrete groups into SL(n,C). Special attention is paid to knot groups. In Section 2 we discuss the difference between the tangent space at the representation variety, and the representation scheme. We give an example of Lubotzky and Magid of a non scheme reduced representation (see Example 2.18). In the second part recent results about the representation and character varieties of knot groups into SL(n,C) with n $\\ge$ 3 are presented. This second part concerns mostly joint work with L. Ben Abdelghani, O. Medjerab, V. Mu{\\~n}os and J. Porti.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-11T19:04:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "knot groups",
      "representation spaces",
      "non scheme reduced representation",
      "second part concerns",
      "general introduction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}