The loop group and the cobar construction

DOI10.1090/S0002-9939-09-10238-1zbMath1397.55006arXiv0903.1651OpenAlexW2041026374MaRDI QIDQ3559017

Kathryn P. Hess, Andrew Tonks

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1651

zbMATH Keywords

loop spacecobar constructionstrong deformation retractacyclic models

Mathematics Subject Classification ID

Loop spaces (55P35) Bar and cobar constructions (57T30) Simplicial sets and complexes in algebraic topology (55U10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

Related Items (10)

Szczarba's twisting cochain and the Eilenberg-Zilber maps ⋮ The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time ⋮ Adams' cobar construction revisited ⋮ Categorical models for path spaces ⋮ On the graph products of simplicial groups and connected Hopf algebras ⋮ The Hochschild complex of a twisting cochain ⋮ Cubical rigidification, the cobar construction and the based loop space ⋮ Rational homotopy equivalences and singular chains ⋮ A combinatorial model for the path fibration ⋮ Homotopy theory of monoids and derived localization

Cites Work

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• Perturbation theory in differential homological algebra. II
• Applications of perturbation theory to iterated fibrations
• Perturbation theory in differential homological algebra. I
• On the extended functoriality of Tor and Cotor
• Brown's natural twisting cochain and the Eilenberg-MacLane transformation
• A chain coalgebra model for the James map
• ON THE COBAR CONSTRUCTION
• ABSTRACT HOMOTOPY. IV
• The Homology of Twisted Cartesian Products
• On the twisted cobar construction

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