{
  "id": "1501.07183",
  "version": "v1",
  "published": "2015-01-28T16:46:52.000Z",
  "updated": "2015-01-28T16:46:52.000Z",
  "title": "An algebraic characterization of a Dehn twist for nonorientable surfaces",
  "authors": [
    "Ferihe Atalan"
  ],
  "comment": "20 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $N_g^k$ be a nonorientable surface of genus \\ $g\\geq 5$ \\ with \\ $k$-punctures. In this note, we will give an algebraic characterization of a Dehn twist about a simple closed curve on $N_g^k$. Along the way, we will fill some little gaps in the proofs of some theorems in \\cite{A} and \\cite{I1} giving algebraic characterizations of Dehn twists about separating simple closed curves. Indeed, our results will give an algebraic characterization for the topological type of Dehn twists about separating simple closed curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-28T16:46:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F38",
      "57N05"
    ],
    "keywords": [
      "dehn twist",
      "nonorientable surface",
      "separating simple closed curves",
      "little gaps",
      "giving algebraic characterizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150107183A"
    }
  }
}