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

2023/06/11 by Dawei Chen, Chen, Dawei, Yu Fei +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2306.06702

openalex publication_date 2023/06/11 · openalex created_date 2023/06/14 · openalex updated_date 2026/07/28

Abstract

We describe the Harder--Narasimhan filtration of the Hodge bundle for Teichmüller 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 Teichmüller curves in the non-varying strata and derive new results regarding the asymptotic behavior of Lyapunov exponents.

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