Periods of abelian differentials and dynamics
Dynamical Systems
2019-05-29 v2 Complex Variables
Abstract
Given a closed oriented surface S we describe those cohomology classes which appear as the period characters of abelian differentials for some choice of complex structure on S consistent with the orientation. The proof is based upon Ratner's solution of Raghunathan's conjecture.
Keywords
Cite
@article{arxiv.1710.11234,
title = {Periods of abelian differentials and dynamics},
author = {Michael Kapovich},
journal= {arXiv preprint arXiv:1710.11234},
year = {2019}
}
Comments
A revision of my 2000 preprint