{
  "id": "math/0309407",
  "version": "v1",
  "published": "2003-09-24T17:30:43.000Z",
  "updated": "2003-09-24T17:30:43.000Z",
  "title": "Computation of Hyperbolic Structures in Knot Theory",
  "authors": [
    "Jeffrey R. Weeks"
  ],
  "comment": "To appear in the Handbook of Knot Theory. 26 pages, 22 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "This chapter from the upcoming Handbook of Knot Theory (eds. Menasco and Thistlethwaite) shows how to construct hyperbolic structures on link complements and perform hyperbolic Dehn filling. Along with a new elementary exposition of the standard ideas from Thurston's work, the article includes never-before-published explanations of SnapPea's algorithms for triangulating a link complement efficiently and for converging quickly to the hyperbolic structure while avoiding singularities in the parameter space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-24T17:30:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M50"
    ],
    "keywords": [
      "knot theory",
      "computation",
      "link complement",
      "construct hyperbolic structures",
      "snappeas algorithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9407W"
    }
  }
}