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Dynamical Aspects of Teichmüller Theory

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

  • 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

Part of the book series: Atlantis Studies in Dynamical Systems (ASDS, volume 7)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Carlos Matheus Silva Santos
    Pages 1-18
  3. Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture

    • Carlos Matheus Silva Santos
    Pages 19-46
  4. Arithmetic Teichmüller Curves with Complementary Series

    • Carlos Matheus Silva Santos
    Pages 47-61
  5. An Example of Quaternionic Kontsevich-Zorich Monodromy Group

    • Carlos Matheus Silva Santos
    Pages 105-115
  6. Back Matter

    Pages 117-122

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 numbertheory.



Authors and Affiliations

  • Laboratoire Analyse, Géométrie et Applications, Institut Galilée, Université Paris 13, Villetaneuse, France

    Carlos Matheus Silva Santos

About the author

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. 

Bibliographic Information

Buy it now

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access