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arXiv · 1203.6053

Weierstrass filtration on Teichmuller curves and Lyapunov exponents

Fei Yu·Kang Zuo
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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.

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Fei Yu, Kang Zuo. 2014-12-03. Weierstrass filtration on Teichmuller curves and Lyapunov exponents. https://arxiv.org/abs/1203.6053

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