{
  "id": "1308.2871",
  "version": "v3",
  "published": "2013-08-13T14:06:25.000Z",
  "updated": "2014-08-14T16:36:20.000Z",
  "title": "Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge bundle",
  "authors": [
    "Carlos Matheus",
    "Gabriela Weitze-Schmithuesen"
  ],
  "comment": "19 pages, 7 figures. Final version based on the referee's report. To appear in Int. Math. Res. Not. (IMRN)",
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding SL(2,R)-orbits on the moduli space admit non-trivial isotropic SL(2,R)-invariant subbundles. This answers a question posed to the authors by A. Eskin and G. Forni.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-08-14T16:36:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hodge bundle",
      "moduli space admit non-trivial isotropic",
      "space admit non-trivial isotropic sl",
      "subbundles",
      "corresponding sl"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2871M"
    }
  }
}