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

• Main Author: Matheus Silva Santos, Carlos (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Atlantis Studies in Dynamical Systems ; 7
• Subjects: Dynamics.; Ergodic theory.; Algebraic geometry.; Topology.; Dynamical Systems and Ergodic Theory.; Algebraic Geometry.

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...

Table of Contents:

• 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.