Calegari, Danny
(2009)
*Scl.*
Mathematical Society of Japan Memoirs.
No.20.
Mathematical Society of Japan
, Tokyo.
ISBN 978-4-931469-53-2.
http://resolver.caltech.edu/CaltechAUTHORS:20180808-090434034

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20180808-090434034

## 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.

Item Type: | Book | ||||||
---|---|---|---|---|---|---|---|

Related URLs: |
| ||||||

Alternate Title: | Stable Commutator Length | ||||||

Additional Information: | © 2009 The Mathematical Society of Japan. | ||||||

Subject Keywords: | stable commutator length; bounded cohomology; rationality; Bavard's Duality Theorem; hyperbolic groups; free groups; Thurston norm; Bavard's Conjecture; rigidity; immersions; causality; group dynamics; Markov chains; central limit theorem; combable groups; finite state automata | ||||||

Classification Code: | MSC: Primary: 20J05: Homological methods in group theory 57M07: Topological methods in group theory | ||||||

Record Number: | CaltechAUTHORS:20180808-090434034 | ||||||

Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20180808-090434034 | ||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||

ID Code: | 88647 | ||||||

Collection: | CaltechAUTHORS | ||||||

Deposited By: | Tony Diaz | ||||||

Deposited On: | 08 Aug 2018 16:14 | ||||||

Last Modified: | 08 Aug 2018 16:14 |

Repository Staff Only: item control page