The Structure of Classical Diffeomorphism Groups

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. This led Smale to conjecture that the group Diff'" (M)o of cr diffeomorphisms, r ~ 1, of a smooth manifol...

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Bibliographic Details
Main Author: Banyaga, Augustin
Format: eBook
Language:English
Published: New York, NY Springer US 1997, 1997
Edition:1st ed. 1997
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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