{
  "id": "0901.2319",
  "version": "v1",
  "published": "2009-01-15T17:15:36.000Z",
  "updated": "2009-01-15T17:15:36.000Z",
  "title": "Fibered knots and Property 2R",
  "authors": [
    "Martin Scharlemann",
    "Abigail Thompson"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "It is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among components of such counterexamples is not a fibered knot. The general question of what fibered knots might appear as a component of such a counterexample is further considered; much can be said about the monodromy of the fiber, particularly in the case in which the fiber is of genus two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-15T17:15:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N13"
    ],
    "keywords": [
      "fibered knot",
      "property 2r",
      "counterexample",
      "general question",
      "sutured manifold theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.2319S"
    }
  }
}