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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Vespri, Vincenzo / Marano, Salvatore Angelo


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Band 3, Heft 3

Hefte

Volume 13 (2015)

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

Kōjun Abe / Kazuhiko Fukui
Online erschienen: 01.09.2005 | DOI: https://doi.org/10.2478/BF02475921

Abstract

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.

Keywords: Automorphism group; first homology group; G-manifold; Foliated manifold

Keywords: 47S05; 58D05; 58H10

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Artikelinformationen

Online erschienen: 01.09.2005

Erschienen im Druck: 01.09.2005


Quellenangabe: Open Mathematics, Band 3, Heft 3, Seiten 516–528, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/BF02475921.

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© 2005 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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