{
  "id": "2010.11161",
  "version": "v1",
  "published": "2020-10-21T17:28:06.000Z",
  "updated": "2020-10-21T17:28:06.000Z",
  "title": "Writing periodic maps as words in Dehn twists",
  "authors": [
    "Neeraj K. Dhanwani",
    "Ajay K. Nair",
    "Kashyap Rajeevsarathy"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we will discuss procedures for expressing a finite order mapping class as a product of Dehn twists, up to conjugacy. These algorithms are based on the chain and star relations in the mapping class group, the geometric realizations of torsion elements of the mapping class group, and the symplectic representations of the mapping class group. As an application, we develop an algorithm to write some of the roots of Dehn twists as words in Dehn twists.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-21T17:28:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60",
      "57M50",
      "57M99"
    ],
    "keywords": [
      "dehn twists",
      "writing periodic maps",
      "mapping class group",
      "finite order mapping class",
      "star relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}