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The Structure of Classical Diffeomorphism Groups

Author: Augustin Banyaga
Publisher: Boston, MA : Springer US, 1997.
Series: Mathematics and Its Applications, 400.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Augustin Banyaga
ISBN: 9781475768008 1475768001
OCLC Number: 851838443
Description: 1 online resource (xi, 201 pages).
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.
Series Title: Mathematics and Its Applications, 400.
Responsibility: by Augustin Banyaga.

Abstract:

In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to the identity is a simple group.  Read more...

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