{
  "id": "1607.08044",
  "version": "v1",
  "published": "2016-07-27T11:31:23.000Z",
  "updated": "2016-07-27T11:31:23.000Z",
  "title": "On the volume and the Chern-Simons invariant for the $2$-bridge knot orbifolds",
  "authors": [
    "Ji-Young Ham",
    "Joongul Lee",
    "Alexander Mednykh",
    "Aleksey Rasskazov"
  ],
  "comment": "20 pages, 8 figures, 5 tables. arXiv admin note: text overlap with arXiv:1601.00723, arXiv:1512.05481",
  "categories": [
    "math.GT"
  ],
  "abstract": "We extend some part of the unpublished paper written by Mednykh and Rasskazov. Using the approach indicated in this paper we derive the Riley-Mednykh polynomial for some family of the $2$-bridge knot orbifolds. As a result we obtain explicit formulae for the volume of cone-manifolds and the Chern-Simons invariant of orbifolds of the knot with Conway's notation $C(2n,4)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-27T11:31:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "bridge knot orbifolds",
      "chern-simons invariant",
      "explicit formulae",
      "riley-mednykh polynomial",
      "unpublished paper written"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}