{
  "id": "0911.0207",
  "version": "v2",
  "published": "2009-11-01T22:27:43.000Z",
  "updated": "2011-01-04T18:37:32.000Z",
  "title": "Incompressible surfaces in handlebodies and boundary reducible 3-manifolds",
  "authors": [
    "João Miguel Nogueira",
    "Henry Segerman"
  ],
  "comment": "33 pages, 14 figures",
  "journal": "Topology and its Applications Volume 158, Issue 4, 2011, Pages 551-571",
  "doi": "10.1016/j.topol.2010.11.014",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study the existence of incompressible embeddings of surfaces into the genus two handlebody. We show that for every compact surface with boundary, orientable or not, there is an incompressible embedding of the surface into the genus two handlebody. In the orientable case the embedding can be either separating or non-separating. We also consider the case in which the genus two handlebody is replaced by an orientable 3-manifold with a compressible boundary component of genus greater than or equal to two.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-04T18:37:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57N35"
    ],
    "keywords": [
      "handlebody",
      "incompressible surfaces",
      "boundary reducible",
      "genus greater",
      "compressible boundary component"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0207N"
    }
  }
}