The Structure of Classical Diffeomorphism Groups
Author:   Augustin Banyaga ,  Deborah Ajayi
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   400
ISBN:  

9781441947741


Pages:   202
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Structure of Classical Diffeomorphism Groups


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Overview

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.

Full Product Details

Author:   Augustin Banyaga ,  Deborah Ajayi
Publisher:   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:  

9781441947741


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. 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.

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