Dynamical aspects of Teichmüller theory : SL(2,R)-action on moduli spaces of flat surfaces
著者
書誌事項
Dynamical aspects of Teichmüller theory : SL(2,R)-action on moduli spaces of flat surfaces
（Atlantis studies in dynamical systems, v. 7）
Atlantis Press , Springer, c2018
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注記
Includes bibliographical references (p. 117-120) and index
内容説明・目次
内容説明
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 Teichmuller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmuller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmuller Theory.
The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.
目次
Introduction.- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture.- Arithmetic Teichmuller Curves with Complementary Series.- Some Finiteness Results for Algebraically Primitive Teichmuller Curves.- Simplicity of Lyapunov Exponents of Arithmetic Teichmuller Curves.- An Example of Quaternionic Kontsevich-Zorich Monodromy Group.
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