Name: the structure of classical diffeomorphism groups
SKU: 3619137
Price: 7951.00 TWD
Availability: InStock
Author: banyaga
ISBN: 9780792344759

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portada the structure of classical diffeomorphism groups

the structure of classical diffeomorphism groups

Type

Physical Book

Publisher

Springer

Author

banyaga

Language

English

Pages

216

ISBN

0792344758

ISBN13

9780792344759

Synopsis "the structure of classical diffeomorphism groups"

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 thurstons 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.