Dynamical properties of the absolute period foliation

2015/11/25 by Ursula Hamenstaedt, Hamenstaedt, Ursula
Mathematics · #30F60 #37C40 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #math.DS #msc:30F60 #msc:37C40

paper · pdf · doi:10.48550/arxiv.1511.08055

16 p

arxiv created 2015/11/25 · openalex publication_date 2015/11/25 · arxiv updated 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the absolute period foliation of the principal stratum of abelian differentials on a surface of genus at least 3 is ergodic. We also investigate the absolute period foliation of affine invariant manifolds.

Related

• A transfer principle: from periods to isoperiodic foliations
• Dynamics of the absolute period foliation of a stratum of holomorphic\n 1-forms
• Isoperiodic dynamics in rank 1 affine invariant orbifolds
• Relative periods of abelian differentials in a prescribed stratum
• Periods of abelian differentials and dynamics