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Calegari, Danny (2009) Scl. Mathematical Society of Japan Memoirs. No.20. Mathematical Society of Japan , Tokyo. ISBN 978-4-931469-53-2.

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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
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URLURL TypeDescription
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
Series Name:Mathematical Society of Japan Memoirs
Issue or Number:20
Classification Code:MSC: Primary: 20J05: Homological methods in group theory 57M07: Topological methods in group theory
Record Number:CaltechAUTHORS:20180808-090434034
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88647
Deposited By: Tony Diaz
Deposited On:08 Aug 2018 16:14
Last Modified:16 Nov 2021 00:28

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