How to model the free loop space algebraically
type: Item
instance of: scholarly article
title: How to model the free loop space algebraically
zbMATH Open document ID: 0937.18017
author: Nicolas Dupont
author: Kathryn Hess
published in: Mathematische Annalen
publication date: 2000-05-30T00:00:00Z
review text: Thanks to the non-commutative algebraic models developed by the authors [\textit{N. Dupont} and \textit{K.Hess}, Math. Ann. 314, No. 3, 449-467 (1999; Zbl 0937.18016)] an explicit model for the free loop space is given. This algebraic model is easily and explicitely described. The cohomology \(H^{*}((S^{n})^{S^1};k)\) of the free loop space of an odd-dimensional sphere \(S^n\) is determined, and also of the free loop space over \(S^{3}\vee S^{3}\).
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 55P99
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 55R20
Mathematics Subject Classification ID: 55U35
Mathematics Subject Classification ID: 57T30
Mathematics Subject Classification ID: 57T35
zbMATH DE Number: 1337007
zbMATH Keywords: free loop space
zbMATH Keywords: algebraic model
reviewed by: David Chataur
MaRDI profile type: Publication
full work available at URL: s002080050303
OpenAlex ID: W2007363340
DOI: 10.1007/S002080050303
description: scientific article; zbMATH DE number 1337007