{
  "id": "1907.05467",
  "version": "v1",
  "published": "2019-07-11T19:54:15.000Z",
  "updated": "2019-07-11T19:54:15.000Z",
  "title": "A construction of pseudo-Anosov homeomorphisms using positive twists",
  "authors": [
    "Yvon Verberne"
  ],
  "comment": "26 pages, 13 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce a construction of pseudo-Anosov homeomorphisms on n-times punctured spheres and surfaces with higher genus using only sufficiently many positive half-twists. These constructions can produce explicit examples of pseudo-Anosov maps with various number-theoretic properties associated to the stretch factors, including examples where the trace field is not totally real and the Galois conjugates of the stretch factor are on the unit circle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-11T19:54:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30",
      "57M07",
      "15A18"
    ],
    "keywords": [
      "pseudo-anosov homeomorphisms",
      "positive twists",
      "construction",
      "stretch factor",
      "produce explicit examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}