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Cover image for book Dynamical Aspects of Teichmüller Theory

Dynamical Aspects of Teichmüller Theory

SL(2,R)-Action on Moduli Spaces of Flat Surfaces
By:Carlos Matheus Silva Santos
Publisher:Springer Nature
Print ISBN:9783319921587
eText ISBN:9783319921594
Edition:0
Copyright:2018
Format:Reflowable

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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 the dynamics of the Teichmüller 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 Teichmüller 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 numbertheory.

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