{
  "id": "math/9906133",
  "version": "v3",
  "published": "1999-06-20T00:41:08.000Z",
  "updated": "2000-10-14T17:13:16.000Z",
  "title": "Normal all pseudo-Anosov subgroups of mapping class groups",
  "authors": [
    "Kim Whittlesey"
  ],
  "comment": "Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper10.abs.html",
  "journal": "Geom. Topol. 4 (2000) 293-307",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct the first known examples of nontrivial, normal, all pseudo-Anosov subgroups of mapping class groups of surfaces. Specifically, we construct such subgroups for the closed genus two surface and for the sphere with five or more punctures. Using the branched covering of the genus two surface over the sphere and results of Birman and Hilden, we prove that a reducible mapping class of the genus two surface projects to a reducible mapping class on the sphere with six punctures. The construction introduces \"Brunnian\" mapping classes of the sphere, which are analogous to Brunnian links.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-10-14T17:13:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60",
      "20F36",
      "57N05"
    ],
    "keywords": [
      "mapping class groups",
      "pseudo-anosov subgroups",
      "reducible mapping class",
      "surface projects",
      "brunnian links"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}