{
  "id": "0901.1783",
  "version": "v1",
  "published": "2009-01-13T13:29:23.000Z",
  "updated": "2009-01-13T13:29:23.000Z",
  "title": "The SL(2,C)-character varieties of torus knots",
  "authors": [
    "Vicente Muñoz"
  ],
  "comment": "7 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $G$ be the fundamental group of the complement of the torus knot of type $(m,n)$. This has a presentation $G=<x,y|x^m=y^n>$. We find the geometric description of the character variety $X(G)$ of characters of representations of $G$ into $SL(2,C)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-13T13:29:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "torus knot",
      "fundamental group",
      "geometric description",
      "character variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}