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OverviewThe 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. Full Product DetailsAuthor: Augustin Banyaga , Deborah AjayiPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 1997 Volume: 400 Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781441947741ISBN 10: 1441947744 Pages: 202 Publication Date: 08 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Diffeomorphism Groups: A First Glance.- 2. The Simplicity of Diffeomorphism Groups.- 3. The Geometry of the Flux.- 4. Symplectic Diffeomorphisms.- 5. Volume Preserving Diffeomorphisms.- 6. Contact Diffeomorphisms.- 7. Isomorphisms Between Diffeomorphism Groups.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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