Classification of Rauzy-Veech groups: proof of the Zorich conjecture
成果类型：
Article
署名作者：
Gutierrez-Romo, Rodolfo
署名单位：
Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-018-0836-7
发表日期：
2019
页码：
741-778
关键词：
摘要：
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.
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