Weierstrass filtration on Teichmuller curves and Lyapunov exponents
  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. 
Fei Yu and Kang Zuo
math.AG math.DS