{
  "id": "0805.0434",
  "version": "v1",
  "published": "2008-05-04T18:26:32.000Z",
  "updated": "2008-05-04T18:26:32.000Z",
  "title": "Connected components of strata of quadratic differentials over Teichmuller space",
  "authors": [
    "Katharine C. Walker"
  ],
  "comment": "14 pages, 3 figures",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "In this paper, we study connected components of strata of the space of quadratic differentials lying over $\\T_g$. We use certain general properties of sections of line bundles to put a upper bound on the number of connected components, and a generalized version of the Gauss map as an invariant to put a lower bound on the number of such components. For strata with sufficiently many zeroes of the same order we can state precisely the number of components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-04T18:26:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F30",
      "14D20"
    ],
    "keywords": [
      "teichmuller space",
      "lower bound",
      "line bundles",
      "upper bound",
      "general properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0434W"
    }
  }
}