Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations
type: Item
instance of: scholarly article
title: Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations
zbMATH Open document ID: 0572.17006
author: Atsumi Hamasaki
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1984-01-01T00:00:00Z
review text: Ce travail est consacré à la construction d'une théorie de classes caractéristiques G-équivariantes pour les feuilletages. L'auteur généralise au cas équivariant le résultat classique de Gelfand et Fuks sur la cohomologie des champs de vecteurs formels (Thm 2.3.). Une application géométrique de ces classes, comme obstructions à l'existence d'un feuilletage G-équivariant, est donnée dans le Thm. 6.2. Les démonstrations utilisent un formalisme du type de celui de Bernstein et Rozenfeld.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 58H10
zbMATH DE Number: 3912578
zbMATH Keywords: obstructions to lifting foliations
zbMATH Keywords: infinite-dimensional Lie algebras
zbMATH Keywords: characteristic classes of foliations
zbMATH Keywords: Lie algebra of formal vector fields
zbMATH Keywords: continuous cohomologies
reviewed by: Claude Roger
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195181612
OpenAlex ID: W1979808170
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DOI: 10.2977/PRIMS/1195181612
description: scientific article; zbMATH DE number 3912578