Adams operations, iterated integrals and free loop spaces cohomology

DOI10.1016/S0022-4049(95)00171-9zbMath0878.55004MaRDI QIDQ674453

Frédéric Patras

Publication date: 18 December 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hochschild homologyiterated integralsAdams operationsfree loop spacesmooth manifoldreal differential forms

Mathematics Subject Classification ID

Loop spaces (55P35) Bar and cobar constructions (57T30) (J)-homomorphism, Adams operations (19L20)

Related Items (3)

Unnamed Item ⋮ Simplicial cochain algebras for diffeological spaces ⋮ Twisted descent algebras and the Solomon-Tits algebra.

Cites Work

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• Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces
• Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)
• Additive \(K\)-theory and crystalline cohomology
• A model for cyclic homology and algebraic K-theory of 1-connected topological spaces
• A Hodge-type decomposition for commutative algebra cohomology
• The homology theory of the closed geodesic problem
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Power maps and epicyclic spaces
• Iterated integrals of differential forms and loop space homology
• Lectures on minimal models
• Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d'homologie de Hochschild
• Iterated path integrals

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