Equivariant de Rham cohomology of homogeneous spaces
type: Item
instance of: scholarly article
title: Equivariant de Rham cohomology of homogeneous spaces
zbMATH Open document ID: 0849.43006
DOI: 10.1016/0022-4049(95)00018-6
author: H. Shiga
published in: Journal of Pure and Applied Algebra
publication date: 1996-05-19T00:00:00Z
review text: Let \(G\) be a compact connected Lie group and \(K\) be a closed connected subgroup. The main result of the paper is a sufficient condition for the corresponding Borel fibration: \(G/K \to EK \times_KG/K \to BK\) to be totally noncohomologous to zero. The theorem is then applied to the example \(G = SU(n)\), \(K = S^1\).
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 57T15
Mathematics Subject Classification ID: 58A12
zbMATH DE Number: 858641
zbMATH Keywords: De Rham cohomology
zbMATH Keywords: compact homogeneous space
zbMATH Keywords: Lie group
zbMATH Keywords: Borel fibration
reviewed by: François Rouvière
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00018-6
OpenAlex ID: W2019447847
cites work: The moment map and equivariant cohomology
cites work: Q5810579
cites work: Q5810580
cites work: Q4150360
cites work: Superconnections, Thom classes, and equivariant differential forms
cites work: Infinitesimal computations in topology
description: scientific article; zbMATH DE number 858641