Classification of Rauzy-Veech groups: proof of the Zorich conjecture
Dynamical Systems
2019-04-09 v3
Abstract
We classify the Rauzy-Veech groups of all connected components of all strata of the moduli space of translation surfaces in absolute homology, showing, in particular, that they are commensurable to arithmetic lattices of symplectic groups. As a corollary, we prove a conjecture of Zorich about the Zariski-density of such groups.
Keywords
Cite
@article{arxiv.1706.04923,
title = {Classification of Rauzy-Veech groups: proof of the Zorich conjecture},
author = {Rodolfo Gutiérrez-Romo},
journal= {arXiv preprint arXiv:1706.04923},
year = {2019}
}
Comments
26 pages, no figures. This version includes minor corrections