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Dynamical Aspects of Teichmüller Theory

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

  • Carlos Matheus Silva Santos

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Carlos Matheus Silva Santos
    Pages 1-18
  3. Carlos Matheus Silva Santos
    Pages 19-46
  4. Carlos Matheus Silva Santos
    Pages 47-61
  5. Carlos Matheus Silva Santos
    Pages 105-115
  6. Back Matter
    Pages 117-122

About this book

Introduction

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.

Keywords

Teichmüller dynamics moduli spaces dynamical systems and geometry flat surfaces Eskin-Kontsevich-Zorich regularity conjecture

Authors and affiliations

  • Carlos Matheus Silva Santos
    • 1
  1. 1.Laboratoire Analyse, Géométrie et Applications, Institut GaliléeUniversité Paris 13VilletaneuseFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-92159-4
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-92158-7
  • Online ISBN 978-3-319-92159-4
  • Buy this book on publisher's site