Structure of Classical Diffeomorphism Groups
Augustin Banyaga
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 this automorphism groups, a contribution to the Erlanger Program of Klein. Audience: Graduate students and researchers in mathematics and physics.
Kategoriler:
Yıl:
1997
Baskı:
1st
Yayımcı:
Springer
Dil:
english
Sayfalar:
102
ISBN 10:
0792344758
ISBN 13:
9780792344759
Seriler:
Mathematics and Its Applications
Dosya:
PDF, 4.66 MB
IPFS:
,
english, 1997