Zorich conjecture for hyperelliptic Rauzy-Veech groups. (English) Zbl 1381.05088
Summary: 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.
MSC:
| 05E15 | Combinatorial aspects of groups and algebras (MSC2010) |
| 37D25 | Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) |
| 37A25 | Ergodicity, mixing, rates of mixing |
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