{
  "id": "1809.04757",
  "version": "v1",
  "published": "2018-09-13T03:49:50.000Z",
  "updated": "2018-09-13T03:49:50.000Z",
  "title": "${\\rm SL}(3,\\mathbb{C})$-representations of twist knot groups",
  "authors": [
    "Haimiao Chen"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "For each twist knot, we give a parametrization for an open subset of the ${\\rm SL}(3,\\mathbb{C})$-character variety, showing it to be an affine algebraic curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-13T03:49:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "twist knot groups",
      "representations",
      "affine algebraic curve",
      "character variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}