{
  "id": "math/0510639",
  "version": "v1",
  "published": "2005-10-28T18:28:18.000Z",
  "updated": "2005-10-28T18:28:18.000Z",
  "title": "Right-veering diffeomorphisms of compact surfaces with boundary I",
  "authors": [
    "Ko Honda",
    "William H. Kazez",
    "Gordana Matic"
  ],
  "comment": "19 pages, 7 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We initiate the study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary. The monoid strictly contains the monoid of products of positive Dehn twists. We explain the relationship to tight contact structures and open book decompositions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-28T18:28:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53C15"
    ],
    "keywords": [
      "right-veering diffeomorphisms",
      "compact surfaces",
      "tight contact structures",
      "open book decompositions",
      "positive dehn twists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10639H"
    }
  }
}