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Dynamics in the moduli space of Abelian differentials

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Publication:815190
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zbMath1087.14014MaRDI QIDQ815190

Marcelo Viana, Artur Avila

Publication date: 22 February 2006

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52333


zbMATH Keywords

compact Riemann surfaceLyapunov exponents of the Teichüeller flow on the moduli spaceZorich-Kontsevich conjecture


Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Vector bundles on curves and their moduli (14H60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Families, moduli of curves (analytic) (14H15)


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Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture ⋮ Singularities for analytic continuations of holonomy germs of Riccati foliations ⋮ Minimal interval exchange transformations with flips



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