Classification of Rauzy-Veech groups: proof of the Zorich conjecture

DOI10.1007/s00222-018-0836-7zbMath1420.37020arXiv1706.04923OpenAlexW2759033166WikidataQ123335684 ScholiaQ123335684MaRDI QIDQ1741564

Rodolfo Gutiérrez-Romo

Publication date: 3 May 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04923

zbMATH Keywords

Rauzy-Veech inductionKonstevich-Zorich cocyclepinching and twisting cocycle

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

A combinatorial approach to Rauzy-type dynamics. II: The labelling method and a second proof of the KZB classification theorem ⋮ The automorphism group of Rauzy diagrams ⋮ Counting saddle connections in a homology class modulo \( q \) (with an appendix by Rodolfo Gutiérrez-Romo) ⋮ An origami of genus 3 with arithmetic Kontsevich–Zorich monodromy ⋮ On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials ⋮ Connected components of strata of abelian differentials over Teichmüller space

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