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

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Abe K., Fukui K.

Open Mathematics

2005

tom 3

nr 3

516-528

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 G-action or a foliated structure on M. We also work in Lipschitz category.

Ograniczanie wyników

1 Open Mathematics

1 Abe K.

1 Fukui K.

1 2005

Wyniki wyszukiwania

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