Overview
- 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)
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Front Matter
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Back Matter
Keywords
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
About the author
Bibliographic Information
Book Title: Dynamical Aspects of Teichmüller Theory
Book Subtitle: SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Authors: Carlos Matheus Silva Santos
Series Title: Atlantis Studies in Dynamical Systems
DOI: https://doi.org/10.1007/978-3-319-92159-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-92158-7Published: 20 July 2018
eBook ISBN: 978-3-319-92159-4Published: 09 July 2018
Series ISSN: 2213-3526
Series E-ISSN: 2213-3534
Edition Number: 1
Number of Pages: XIV, 122
Number of Illustrations: 28 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Algebraic Geometry, Topology