{
  "id": "1611.07728",
  "version": "v1",
  "published": "2016-11-23T10:31:35.000Z",
  "updated": "2016-11-23T10:31:35.000Z",
  "title": "Lyapunov exponents of the Hodge bundle over strata of quadratic differentials with large number of poles",
  "authors": [
    "Charles Fougeron"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show an upper bound for the sum of positive Lyapunov exponents of any Teichm\\\"uller curve in strata of quadratic differentials with at least one zero of large multiplicity. As a corollary it stands for all Teichm\\\"uller curves in these strata and $SL(2,\\mathbb R)$ invariant subspaces defined over $\\mathbb Q$. This solves Grivaux-Hubert's conjecture about the asymptotics of Lyapunov exponents for strata with large number of poles in the situation when at least one zero has large multiplicity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-23T10:31:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic differentials",
      "large number",
      "hodge bundle",
      "large multiplicity",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}