Rational Betti numbers of configuration spaces
type: Item
instance of: scholarly article
title: Rational Betti numbers of configuration spaces
zbMATH Open document ID: 0948.55014
DOI: 10.1016/S0166-8641(98)00148-5
published in: Topology and its Applications
publication date: 2000-03-22T00:00:00Z
review text: The rational Betti numbers of the configuration space \(C_k(M)\) of \(k\) points in an even-dimensional orientable closed manifold \(M\) are computed and it is proved that these numbers depend only on the rational cohomology algebra of the manifold. A formula for the Euler-Poincaré characteristic of \(C_k(M)\) in terms only of \(k\) and of the Euler-Poincaré characteristic of \(M\) is also given.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 57N60
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 55P62
zbMATH DE Number: 1421583
zbMATH Keywords: labeled configurations
zbMATH Keywords: section spaces
zbMATH Keywords: Euler characteristic
zbMATH Keywords: minimal models
author: Yves Félix
author: Jean-Claude Thomas
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1421583