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The sum of Lyapunov exponents on Quadradic differentials
YU Fei * #
School of Mathematical Sciences, Zhejiang University, Hangzhou 310007
*Correspondence author
#Submitted by
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Funding: Ph.D. Programs Foundation of Ministry of Education of China （No.20130121120042）
Opened online: 2 June 2017
Accepted by: none
Citation: YU Fei.The sum of Lyapunov exponents on Quadradic differentials[OL]. [ 2 June 2017] http://en.paper.edu.cn/en_releasepaper/content/4736255
 
 
In this paper we reporve a Kontsevich-Zorich formula for the sum of Lyapunov exponents of Teichm"{u}ller curves on Quadradic differentials. For a Teichm"{u}ller curve in moduli space of abelian differentials. Under some additionalassumptions, we also get an upper bound of individual Lyapunov exponents; in particular we get Lyapunov exponents in hyperelliptic loci and low genusnon-varying strata.
Keywords:Lyapunov exponents; Teichm; Quadraticd ifferentials
 
 
 

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