{
  "id": "0904.3826",
  "version": "v2",
  "published": "2009-04-24T08:59:09.000Z",
  "updated": "2013-05-16T06:31:38.000Z",
  "title": "Classification of Rauzy classes in the moduli space of quadratic differentials",
  "authors": [
    "Corentin Boissy"
  ],
  "comment": "32 pages, 11 figures",
  "journal": "Discrete and Continuous Dynamical Systems - Series A 32, 10 (2012) 3433-3457",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study relations between Rauzy classes coming from an interval exchange map and the corresponding connected components of strata of the moduli space of Abelian differentials. This gives a criterion to decide whether two permutations are in the same Rauzy class or not, without actually computing them. We prove a similar result for Rauzy classes corresponding to quadratic differentials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-16T06:31:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "quadratic differentials",
      "classification",
      "interval exchange map",
      "study relations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3826B"
    }
  }
}