Groups of Circle Diffeomorphisms

Front Cover
University of Chicago Press, Jun 30, 2011 - Mathematics - 290 pages

In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle. As the group of circle diffeomorphisms is an important subject in modern mathematics, this book will be of interest to those doing research in group theory, dynamical systems, low dimensional geometry and topology, and foliation theory. The book is mostly self-contained and also includes numerous complementary exercises, making it an excellent textbook for undergraduate and graduate students.

 

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Contents

1 Examples of Group Actions on the Circle
1
2 Dynamics of Groups of Homeomorphisms
23
3 Dynamics of Groups of Diffeomorphisms
80
4 Structure and Rigidity via Dynamical Methods
158
5 Rigidity via Cohomological Methods
226
Some Basic Concepts in Group Theory
267
Invariant Measures and Amenable Groups
269
References
273
Index
287
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About the author (2011)

Andrés Navas is associate researcher at the University of Santiago in Chile.

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