✦ LIBER ✦

On the first homology of automorphism groups of manifolds with geometric structures

✍ Scribed by Kōjun Abe; Kazuhiko Fukui

Book ID: 111487655
Publisher: SP Versita
Year: 2005
Tongue: English
Weight: 246 KB
Volume: 3
Category: Article
ISSN: 1895-1074
DOI: 10.2478/bf02475921

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✦ Synopsis

Hermann and Thurston proved that the group of diffeomorphisms with compact support of a smooth manifold M which are isotopic to the identity is a perfect group. We consider the case where M has a geometric structure. In this paper we shall survey on the recent results of the first homology of the diffeomorphism groups which preserve a smooth Gaction or a foliated structure on M . We also work in Lipschitz category.

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