{
  "id": "0910.5691",
  "version": "v4",
  "published": "2009-10-29T17:44:30.000Z",
  "updated": "2014-04-07T09:19:58.000Z",
  "title": "Factorizations of diffeomorphisms of compact surfaces with boundary",
  "authors": [
    "Andy Wand"
  ],
  "comment": "Main results unchanged. Exposition re-worked to reflect referee comments",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study diffeomorphisms of compact, oriented surfaces, developing methods of distinguishing those which have positive factorizations into Dehn twists from those which satisfy the weaker condition of right veering. We use these to construct open book decompositions of Stein-fillable 3-manifolds whose monodromies have no positive factorization.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-04-07T09:19:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact surfaces",
      "construct open book decompositions",
      "positive factorization",
      "dehn twists",
      "study diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5691W"
    }
  }
}