English

Zorich conjecture for hyperelliptic Rauzy-Veech groups

Dynamical Systems 2017-07-05 v2

Abstract

We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy-Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy-Veech groups.

Cite

@article{arxiv.1606.01227,
  title  = {Zorich conjecture for hyperelliptic Rauzy-Veech groups},
  author = {Artur Avila and Carlos Matheus and Jean-Christophe Yoccoz},
  journal= {arXiv preprint arXiv:1606.01227},
  year   = {2017}
}

Comments

19 pages, 2 figures. Final version based on two referee reports. To appear in Math. Annalen

R2 v1 2026-06-22T14:17:18.973Z