{
  "id": "math/0601719",
  "version": "v2",
  "published": "2006-01-30T05:12:17.000Z",
  "updated": "2007-01-30T05:48:12.000Z",
  "title": "The word problem for 3-manifolds built from injective handlebodies",
  "authors": [
    "J. Coffey"
  ],
  "comment": "11 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper gives a proof that the fundamental group of a class of closed orientable 3-manifolds constructed from three injective handlebodies has a solvable word problem. This is done by giving an algorithm to decide if a closed curve in the manifold is null-homotopic. Non-Haken and non-Seifert fibered examples are constructed by performing Dehn surgery on a class of two-bridge knots.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-30T05:48:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "injective handlebodies",
      "two-bridge knots",
      "solvable word problem",
      "fundamental group",
      "non-seifert fibered examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1719C"
    }
  }
}