{
  "id": "math/0601718",
  "version": "v2",
  "published": "2006-01-30T04:51:27.000Z",
  "updated": "2007-01-31T02:50:04.000Z",
  "title": "3-manifolds built from injective handlebodies",
  "authors": [
    "J. Coffey",
    "H. Rubinstein"
  ],
  "comment": "36 pages, 24 figures. Mainly gramatical changes and two figures added",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper looks at a class of closed orientable 3-manifolds constructed from a gluing of three handlebodies, such that the inclusion of each handlebody is $\\pi_1$-injective. This construction is the generalisation to handlebodies of the condition for gluing three solid tori to produce non-Haken Seifert fibered 3-manifolds with infinite fundamental group. It is shown that there is an efficient algorithm to decide if a gluing of handlebodies meets the disk-condition. Also an outline for the construction of the characteristic variety (JSJ decomposition) in such manifolds is given. Some non-Haken and atoroidal examples are given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-31T02:50:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "handlebody",
      "injective handlebodies",
      "infinite fundamental group",
      "paper looks",
      "produce non-haken seifert"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1718C"
    }
  }
}