WEIERSTRASS FILTRATION ON TEICHMULLER CURVES AND LYAPUNOV EXPONENTS

被引：14
|
作者：
Yu, Fei [1 ]
Zuo, Kang [1 ]
机构：
[1] Johannes Gutenberg Univ Mainz, Fachbereich Phys Math & Informat 08, D-55099 Mainz, Germany
来源：
JOURNAL OF MODERN DYNAMICS | 2013年 / 7卷 / 02期
关键词：
Teichmuller curves; Lyapunov exponents; Harder-Narasimhan filtration; HILBERT MODULAR SURFACES; TILED CYCLIC COVERS; ABELIAN DIFFERENTIALS; SPACES; VARIETIES; SHIMURA;
D O I：
10.3934/jmd.2013.7.209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：209 / 237
页数：29
相关论文
共 50 条
  • [1] Teichmuller curves, triangle groups, and Lyapunov exponents
    Bouw, Irene I.
    Moeller, Martin
    ANNALS OF MATHEMATICS, 2010, 172 (01) : 139 - 185
  • [2] Lyapunov exponents of Teichmuller flows
    Viana, Marcelo
    PARTIALLY HYPERBOLIC DYNAMICS, LAMINATIONS, AND TEICHMULLER FLOW, 2007, 51 : 139 - 201
  • [3] A coding-free simplicity criterion for the Lyapunov exponents of Teichmuller curves
    Eskin, Alex
    Matheus, Carlos
    GEOMETRIAE DEDICATA, 2015, 179 (01) : 45 - 67
  • [4] Typical properties of periodic Teichmuller geodesics: Lyapunov exponents
    Hamenstaedt, Ursula
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (02) : 556 - 584
  • [5] SUM OF LYAPUNOV EXPONENTS OF THE HODGE BUNDLE WITH RESPECT TO THE TEICHMULLER GEODESIC FLOW
    Eskin, Alex
    Kontsevich, Maxim
    Zorich, Anton
    PUBLICATIONS MATHEMATIQUES DE L IHES, 2014, (120): : 207 - 333
  • [6] Teichmuller curves generated by Weierstrass Prym eigenforms in genus 3 and genus 4
    Lanneau, Erwan
    Duc-Manh Nguyen
    JOURNAL OF TOPOLOGY, 2014, 7 (02) : 475 - 522
  • [7] Lower bounds for Lyapunov exponents of flat bundles on curves
    Eskin, Alex
    Kontsevich, Maxim
    Moeller, Martin
    Zorich, Anton
    GEOMETRY & TOPOLOGY, 2018, 22 (04) : 2299 - 2338
  • [8] Teichmuller Curves
    Weiss, Christian
    TWISTED TEICHMULLER CURVES, 2014, 2104 : 39 - 51
  • [9] Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
    Fan, AH
    Jiang, YP
    CHAOS, 1999, 9 (04) : 849 - 853
  • [10] Lyapunov Exponents
    Weiss, Christian
    TWISTED TEICHMULLER CURVES, 2014, 2104 : 127 - 133
12345