Isoperiodic dynamics in rank 1 affine invariant orbifolds
Dynamical Systems
2021-01-06 v1 Differential Geometry
Abstract
Let M be a rank 1 affine invariant orbifold in a stratum of the moduli space of flat surfaces. We show that the leaves of the M-isoperiodic foliation are either all closed or all dense. In the second case, we establish ergodicity of the foliation with respect to the affine measure on M.
Keywords
Cite
@article{arxiv.2101.01436,
title = {Isoperiodic dynamics in rank 1 affine invariant orbifolds},
author = {Florent Ygouf},
journal= {arXiv preprint arXiv:2101.01436},
year = {2021}
}