Atlantis Studies in Dynamical Systems

Dynamical Aspects of Teichmüller Theory

SL(2,R)-Action on Moduli Spaces of Flat Surfaces

Authors: Matheus Silva Santos, Carlos

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  • The book gives easy access to recent research topics in Teichmüller dynamics; the results described were obtained after 2012
    The book provides streamlined and partly new versions of the proofs of these recent research results
    After the introduction, each chapter can be read independently from one another, dealing with different aspects of Teichmüller dynamics. They are self-contained moduli of the background content introduced in the first chapter

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eBook $59.99
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  • ISBN 978-3-319-92159-4
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Softcover $79.99
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About this book

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 number theory.


About the authors

Carlos Matheus Silva Santos is a Brazilian mathematician who is an expert in the field of dynamical systems. He currently works at the Centre national de la recherche scientifique (CNRS), while teaching at both École Polytechnique and Université Paris 13. Additionally, he has organized various conferences in Paris and Rio de Janiero on the topic of dynamical systems. 

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-319-92159-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $79.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Aspects of Teichmüller Theory
Book Subtitle
SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Authors
Series Title
Atlantis Studies in Dynamical Systems
Series Volume
7
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-92159-4
DOI
10.1007/978-3-319-92159-4
Softcover ISBN
978-3-319-92158-7
Edition Number
1
Number of Pages
XIV, 122
Number of Illustrations
28 b/w illustrations
Topics