Rational cohomology of the free loop space of a simply connected 4-manifold

DOI10.1007/s11784-013-0100-0zbMath1266.55008OpenAlexW2009109998MaRDI QIDQ1950311

A. Yu. Onishchenko, Th. Yu. Popelenskii

Publication date: 13 May 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-013-0100-0

zbMATH Keywords

Sullivan modelrational homotopyfree loop space

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) String topology (55P50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A model for cyclic homology and algebraic K-theory of 1-connected topological spaces
• The homology theory of the closed geodesic problem
• Formal and coformal spaces
• The rational homotopy groups of complete intersections
• Zur Spektralsequenz von Faserungen
• On the structure of Hopf algebras
• Homologie singulière des espaces fibrés. Applications
• On the equivalence of some spectral sequences for Serre fibrations
• Spectral sequence constructors in algebra and topology
• Rational homotopy theory and differential forms