Weierstrass filtration on Teichmuller curves and Lyapunov exponents
arXiv:1203.6053
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.
28 pages. Published version in Journal of Modern Dynamics. arXiv admin note: text overlap with arXiv:1104.3932 by other authors