E-infinity Cell Models for Free and Based Loop Space Cohomology

2003/06/30 by David Chataur, Chataur, David, Jonathan Scott +2
Mathematics · Medicine · Physics and Astronomy · #18D50 #55P35 #Advanced Neuroimaging Techniques and Applications #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:18D50 #msc:55P35

paper · pdf · doi:10.48550/arxiv.math/0306421

10 pages

arxiv created 2003/06/30 · openalex publication_date 2003/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct E-infinity cell algebra models for the cochain algebras of the free and based loop spaces on a simply-connected topological space. Techniques from rational homotopy theory are exploited throughout.

Citations

• Derived division functors and mapping spaces

Related

• Koszul A-infinity algebras and free loop space homology
• Cell attachments and the homology of loop spaces and differential graded algebras
• On the cohomology algebra of free loop spaces
• A note on H_infinity structures
• Free loop spaces and dihedral homology