Rational cohomology of the free loop space of a simply connected 4-manifold
type: Item
instance of: scholarly article
title: Rational cohomology of the free loop space of a simply connected 4-manifold
zbMATH Open document ID: 1266.55008
author: A. Yu. Onishchenko
author: Th. Yu. Popelenskii
published in: Journal of Fixed Point Theory and Applications
publication date: 2013-05-13T00:00:00Z
review text: In this paper A. Yu. Onishchenko and Th. Yu. Popelensky compute the rational cohomology of the free loop space for a simply connected closed 4-dimensional manifold. Their main tool it the Sullivan theory of minimal models and the Vigué-Sullivan model for the free loop space. The authors use a Serre spectral sequence in models to obtain an explicit and complete formula for the Poincaré series of the free loop space with the second Betti number as a parameter.
Mathematics Subject Classification ID: 55R20
Mathematics Subject Classification ID: 55P35
Mathematics Subject Classification ID: 55P50
Mathematics Subject Classification ID: 55P62
zbMATH DE Number: 6162211
zbMATH Keywords: free loop space
zbMATH Keywords: rational homotopy
zbMATH Keywords: Sullivan model
reviewed by: Yves Félix
MaRDI profile type: Publication
full work available at URL: s11784-013-0100-0
OpenAlex ID: W2009109998
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DOI: 10.1007/S11784-013-0100-0
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description: scientific article; zbMATH DE number 6162211