• Corpus ID: 237525358

# Dynamics of the absolute period foliation of a stratum of holomorphic 1-forms

```@inproceedings{Winsor2021DynamicsOT,
title={Dynamics of the absolute period foliation of a stratum of holomorphic 1-forms},
author={Karl Winsor},
year={2021}
}```
Let Sg be a closed oriented surface of genus g, and let ΩMg(κ) be a stratum of the moduli space of holomorphic 1-forms of genus g. We show that the absolute period foliation of ΩMg(κ) is ergodic on the area-1 locus, and we give an explicit full measure set of dense leaves, subject to a mild constraint on κ. For an algebraically generic cohomology class φ ∈ H(Sg;C), we show that the space of holomorphic 1-forms in ΩMg(κ) representing φ is connected. On the other hand, in the non-generic case, we…
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