{
  "id": "2011.11623",
  "version": "v1",
  "published": "2020-11-23T18:53:08.000Z",
  "updated": "2020-11-23T18:53:08.000Z",
  "title": "Left orderability of cyclic branched covers of rational knots $C(2n+1,2m,2)$",
  "authors": [
    "Bradley Meyer",
    "Anh T. Tran"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We compute the nonabelian $\\mathrm{SL_2}(\\mathbb{C})$-character varieties of the rational knots $C(2n+1,2m,2)$ in the Conway notation, where $m$ and $n$ are non-zero integers. By studying real points on these varieties, we determine the left orderability of the fundamental groups of the cyclic branched covers of $C(2n+1,2m,2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-23T18:53:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "cyclic branched covers",
      "rational knots",
      "left orderability",
      "character varieties",
      "conway notation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}