{
  "id": "1710.11234",
  "version": "v1",
  "published": "2017-10-30T20:48:39.000Z",
  "updated": "2017-10-30T20:48:39.000Z",
  "title": "Periods of abelian differentials and dynamics",
  "authors": [
    "Michael Kapovich"
  ],
  "comment": "A copy of my 2000 preprint",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Given a closed oriented surface S we describe those cohomology classes which appear as the period characters of abelian differentials for some choice of complex structure on S consistent with the orientation. The proof is based upon Ratner's solution of Raghunathan's conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-30T20:48:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian differentials",
      "cohomology classes",
      "period characters",
      "complex structure",
      "ratners solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}