Sullivan-Quillen mixed type model for fibrations
type: Item
instance of: scholarly article
title: Sullivan-Quillen mixed type model for fibrations
zbMATH Open document ID: 0538.55008
author: Katsuyuki Shibata
published in: Journal of the Mathematical Society of Japan
publication date: 1984-01-01T00:00:00Z
review text: The interest of the Sullivan-Quillen mixed type models, of a fibration, introduced by \textit{A. Haeflinger} [Am. Sci. Ec. Norm. Supér., IV. Sér. 9, 503-532 (1976; Zbl 0342.57014)], lies in the following facts. The ''relative'' cochain complex \(C^*_ A(L)\) is a Sullivan model for the total space of a fibration, while the ''absolute'' cochain complex \(C^*(L)\) is a Sullivan model for the cross section space as proved in the first part of this paper. In studying fibrations whose fiber has the homotopy type of a bouquet of spheres, the author deduces the explicit description of the minimal model of the classical D. G. A.'s inclusion \(I_ n\hookrightarrow \hat WO_ n\).
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 58H10
zbMATH DE Number: 3856003
zbMATH Keywords: minimal Lie algebra model of a space
zbMATH Keywords: minimal differential graded algebra model of a space
zbMATH Keywords: model for the space of sections of a fibration
zbMATH Keywords: Gelfand-Fuks cohomology of manifolds
reviewed by: Jean-Claude Thomas
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03620221
OpenAlex ID: W2043705904
DOI: 10.2969/JMSJ/03620221
description: scientific article; zbMATH DE number 3856003