Scl
- Creators
- Calegari, Danny
- Other:
- Calegari, Danny
Abstract
This book is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology, and many other subjects. We use constructive methods whenever possible, and focus on fundamental and explicit examples. We give a self-contained presentation of several foundational results in the theory, including Bavard's Duality Theorem, the Spectral Gap Theorem, the Rationality Theorem, and the Central Limit Theorem. The contents should be accessible to any mathematician interested in these subjects, and are presented with a minimal number of prerequisites, but with a view to applications in many areas of mathematics.
Additional Information
© 2009 The Mathematical Society of Japan.Additional details
- Alternative title
- Stable Commutator Length
- Eprint ID
- 88647
- Resolver ID
- CaltechAUTHORS:20180808-090434034
- Created
-
2018-08-08Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Series Name
- Mathematical Society of Japan Memoirs
- Series Volume or Issue Number
- 20