Groups of Circle Diffeomorphisms
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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1 Examples of Group Actions on the Circle
2 Dynamics of Groups of Homeomorphisms
3 Dynamics of Groups of Diffeomorphisms
4 Structure and Rigidity via Dynamical Methods
5 Rigidity via Cohomological Methods