Approximate roots of pseudo-Anosov diffeomorphisms

DOI10.5802/aif.2469zbMath1179.30044OpenAlexW2313529382MaRDI QIDQ734602

T. M. Gendron

Publication date: 13 October 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_4_1413_0/

zbMATH Keywords

Teichmüller spacepseudo-Anosov diffeomorphismheights-widths rootsheights-widths topologyroot conjecture

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Quadratic differentials and foliations
• Measured lamination spaces for surfaces, from the topological viewpoint
• Amenability, Poincaré series and quasiconformal maps
• The asymptotic geometry of Teichmüller space
• Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmüller space
• Bounds on Least Dilatations
• A Construction of Pseudo-Anosov Homeomorphisms
• Roots in the mapping class groups
• On the geometry and dynamics of diffeomorphisms of surfaces
• Combinatorics of Train Tracks. (AM-125)
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