{
  "id": "0812.1389",
  "version": "v1",
  "published": "2008-12-07T19:57:44.000Z",
  "updated": "2008-12-07T19:57:44.000Z",
  "title": "Cabling sequences of tunnels of torus knots",
  "authors": [
    "Sangbum Cho",
    "Darryl McCullough"
  ],
  "comment": "17 pages, 12 figures, to appear in Algebraic and Geometric Topology",
  "categories": [
    "math.GT"
  ],
  "abstract": "This is the second of three papers that refine and extend portions of our earlier preprint, \"The depth of a knot tunnel.\" Together, they rework the entire preprint. The theory of tunnel number 1 knots that we introduced in \"The tree of knot tunnels\" yields a parameterization in which each tunnel is described uniquely by a finite sequence of rational parameters and a finite sequence of 0's and 1's, that together encode a procedure for constructing the knot and tunnel. In this paper we calculate these invariants for all tunnels of torus knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-07T19:57:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "torus knots",
      "cabling sequences",
      "finite sequence",
      "knot tunnel",
      "entire preprint"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.1389C"
    }
  }
}