{
  "id": "1703.08241",
  "version": "v1",
  "published": "2017-03-23T22:02:29.000Z",
  "updated": "2017-03-23T22:02:29.000Z",
  "title": "Rank 1 character varieties of finitely presented groups",
  "authors": [
    "Caleb Ashley",
    "Jean-Philippe Burelle",
    "Sean Lawton"
  ],
  "comment": "33 pages, Mathematica NB available at http://math.gmu.edu/~slawton3/trace-identities.nb",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let X(F, G) be the G-character variety of F where G is a rank 1 complex affine algebraic group and F is a finitely presentable discrete group. We describe an algorithm, which we implement in \"Mathematica,\" that takes a finite presentation for F and produces a finite presentation of the coordinate ring of X(F,G). The main results in this paper are not new, although we hope that as a well-referenced exposition with a companion computer program, it will be useful.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-23T22:02:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "character varieties",
      "complex affine algebraic group",
      "finite presentation",
      "companion computer program",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}