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The Structure of Classical Diffeomorphism Groups

✍ Scribed by Augustin Banyaga (auth.)


Publisher
Springer US
Year
1997
Tongue
English
Leaves
204
Series
Mathematics and Its Applications 400
Edition
1
Category
Library

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✦ Subjects


Differential Geometry; Global Analysis and Analysis on Manifolds


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The Structure of Classical Diffeomorphis
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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 manifold M, with compa

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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 preser