{
  "id": "1112.5872",
  "version": "v6",
  "published": "2011-12-26T16:51:52.000Z",
  "updated": "2013-09-30T04:51:39.000Z",
  "title": "Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow",
  "authors": [
    "Alex Eskin",
    "Maxim Kontsevich",
    "Anton Zorich"
  ],
  "comment": "Minor corrections. To appear in Publications mathematiques de l'IHES",
  "journal": "Publications de l'IHES (2014) vol. 120, issue 1",
  "doi": "10.1007/s10240-013-0060-3",
  "categories": [
    "math.DS",
    "math.AG",
    "math.GT"
  ],
  "abstract": "We compute the sum of the positive Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow. The computation is based on the analytic Riemann-Roch Theorem and uses a comparison of determinants of flat and hyperbolic Laplacians when the underlying Riemann surface degenerates.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2013-09-30T04:51:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "teichmuller geodesic flow",
      "hodge bundle",
      "underlying riemann surface degenerates",
      "analytic riemann-roch theorem",
      "hyperbolic laplacians"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5872E"
    }
  }
}