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arXiv · 2306.06702

Filtration and splitting of the Hodge bundle on the non-varying strata of quadratic differentials

Dawei Chen·Fei Yu
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Abstract

We describe the Harder--Narasimhan filtration of the Hodge bundle for Teichm\"uller curves in the non-varying strata of quadratic differentials appearing in [CM2]. Moreover, we show that the Hodge bundle on the non-varying strata away from the irregular components can split as a direct sum of line bundles. As applications, we determine all individual Lyapunov exponents of algebraically primitive Teichm\"uller curves in the non-varying strata and derive new results regarding the asymptotic behavior of Lyapunov exponents.

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Dawei Chen, Fei Yu. 2023-06-11. Filtration and splitting of the Hodge bundle on the non-varying strata of quadratic differentials. https://arxiv.org/abs/2306.06702

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