The structure of classical diffeomorphism groups
Augustin Banyaga
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The structure of classical diffeomorphism groups
Published
Dec 08, 2010
Publisher
Springer US
Pages
216
ISBN-13
9781441947741
ISBN-10
1441947744
Description
The book introduces and explains most of the main techniques and ideas in the study of the structure of diffeomorphism groups. A quite complete proof of Thurston's theorem on the simplicity of some diffeomorphism groups is given. The method of the proof is generalized to symplectic and volume-preserving diffeomorphisms. The Mather-Thurston theory relating foliations with diffeomorphism groups is outlined. A central role is played by the flux homomorphism. Various cohomology classes connected with the flux are defined on the group of diffeomorphisms. The main results on the structure of diffeomorphism groups are applied to showing that classical structures are determined by their automorphism groups, a contribution to the Erlanger Program of Klein. Audience: Graduate students and researchers in mathematics and physics.
Subjects
Shapes and Diffeomorphisms
Prequantum transfer operator for symplectic Anosov diffeomorphism
Differentiable dynamics
Difféomorphismes de smale des surfaces
Difféomorphismes de Smale des surfaces
Differentiable dynamics
Frequently Asked Questions
How many pages are in The structure of classical diffeomorphism groups?
This edition of The structure of classical diffeomorphism groups has approximately 216 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read The structure of classical diffeomorphism groups?
For most readers, The structure of classical diffeomorphism groups typically takes between 4h 30m and 3h 0m to complete. This is based on the book's length of approximately 54,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 36m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 54,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of The structure of classical diffeomorphism groups?
The estimated word count for The structure of classical diffeomorphism groups is approximately 54,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of The structure of classical diffeomorphism groups?
The structure of classical diffeomorphism groups was written by Augustin Banyaga.
When was The structure of classical diffeomorphism groups published?
The publication date for this specific edition is Dec 08, 2010. The original work may have been published on a different date.