{
  "id": "1203.6053",
  "version": "v6",
  "published": "2012-03-27T19:18:19.000Z",
  "updated": "2014-12-03T15:47:53.000Z",
  "title": "Weierstrass filtration on Teichmuller curves and Lyapunov exponents",
  "authors": [
    "Fei Yu",
    "Kang Zuo"
  ],
  "comment": "28 pages. Published version in Journal of Modern Dynamics. arXiv admin note: text overlap with arXiv:1104.3932 by other authors",
  "journal": "Journal of Modern Dynamics, (2013) Vol.7, No.2, 209-237",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We define the Weierstrass filtration for Teichmuller curves and construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichmuller curve in hyperelliptic loci and low-genus nonvarying strata. As a result we obtain the sum of Lyapunov exponents of Teichmuller curves in these strata.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-09-12T20:41:52.000Z",
      "title": "Weierstrass filtration on Teichmüller curves and Lyapunov exponents",
      "abstract": "We define Weierstrass filtration for Teichm\\\"{u}ller curves. We construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichm\\\"{u}ller curve in hyperelliptic loci and low genus non-varying strata, and regain the sum of Lyapunov exponents of Teichm\\\"{u}ller curves in these strata.",
      "comment": "23 pages. We rewrite this paper without changing the mathematic content",
      "journal": null,
      "doi": null
    },
    {
      "version": "v6",
      "updated": "2014-12-03T15:47:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "32G15",
      "37F30"
    ],
    "keywords": [
      "lyapunov exponents",
      "teichmüller curves",
      "define weierstrass filtration",
      "low genus non-varying strata",
      "harder-narasimhan filtration"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6053Y"
    }
  }
}