Dynamical Aspects of Teichmüller Theory SL(2,R)-Action on Moduli Spaces of Flat Surfaces /

This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates t...

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Bibliographische Detailangaben
1. Verfasser: Matheus Silva Santos, Carlos (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Atlantis Studies in Dynamical Systems ; 7
Schlagworte:
Dynamics.
Ergodic theory.
Algebraic geometry.
Topology.
ISBN:9783319921594
Online-Zugang: Volltext
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Inhaltsangabe:
  • Introduction
  • Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture
  • Arithmetic Teichmüller Curves with Complementary Series
  • Some Finiteness Results for Algebraically Primitive Teichmüller Curves
  • Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves
  • An Example of Quaternionic Kontsevich-Zorich Monodromy Group.

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