{
  "id": "math/0603626",
  "version": "v2",
  "published": "2006-03-27T16:16:21.000Z",
  "updated": "2008-04-22T17:10:51.000Z",
  "title": "Right-veering diffeomorphisms of compact surfaces with boundary II",
  "authors": [
    "Ko Honda",
    "William H. Kazez",
    "Gordana Matic"
  ],
  "comment": "25 pages, 5 figures",
  "doi": "10.1007/s00222-007-0051-4",
  "categories": [
    "math.GT"
  ],
  "abstract": "We continue our study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary, introduced in [HKM2]. We conduct a detailed study of the case when the surface is a punctured torus; in particular, we exhibit the difference between the monoid of right-veering diffeomorphisms and the monoid of products of positive Dehn twists, with the help of the Rademacher function. We then generalize to the braid group B_n on n strands by relating the signature and the Maslov index. Finally, we discuss the symplectic fillability in the pseudo-Anosov case by comparing with the work of Roberts [Ro1,Ro2].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-22T17:10:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53C15"
    ],
    "keywords": [
      "right-veering diffeomorphisms",
      "compact surfaces",
      "pseudo-anosov case",
      "positive dehn twists",
      "compact oriented surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2007,
      "month": "Apr",
      "volume": 169,
      "number": 2,
      "pages": 427
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007InMat.169..427H"
    }
  }
}