ENGLISH

scl

By Danny Calegari

Book information

Publisher
Mathematical Society of Japan
Year
2009
ISBN
4931469531, 9784931469532
Language
english
Format
PDF
Filesize
2 MB (1709053 bytes)
Pages
218\218
Time added
2010-06-26 00:49:36

Description

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. (added by author)

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2010 · PDF