Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces

DOI10.1007/BF00569450zbMath0726.55007MaRDI QIDQ804003

Dan Burghelea, Zbigniew Fiedorowicz, Wojciech Gajda

Publication date: 1991

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

cyclic homologyHochschild homologyde Rham complexAdams operationsfree loop spaceequivariant homologyHodge structureEuler-Poincaré- Hodge number

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Loop spaces (55P35)

Related Items (12)

Dual Hodge decompositions and derived Poisson brackets ⋮ Power maps and epicyclic spaces ⋮ Unnamed Item ⋮ Maximal Supersymmetry ⋮ Representation homology of simply connected spaces ⋮ Cartan calculus in string topology ⋮ The Hochschild complex of a twisting cochain ⋮ Adams operations, iterated integrals and free loop spaces cohomology ⋮ On the Hodge decomposition of differential graded bi-algebras. ⋮ Generic algebras and iterated Hochschild homology ⋮ Supersymmetric deformations of maximally supersymmetric gauge theories ⋮ Hodge decomposition of string topology

Cites Work

• The action of \(S_ n\) on the components of the Hodge decomposition of Hochschild homology
• A model for cyclic homology and algebraic K-theory of 1-connected topological spaces
• Cyclic homology and equivariant homology
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Sur l'algèbre de cohomologie cyclique d'un espace 1-connex. Applications à la géométrie des variétés. (On the algebra of cyclic cohomology of a 1-connected space. Applications to the geometry of manifolds)
• Homotopy limits, completions and localizations
• Lectures on minimal models
• Unnamed Item

This page was built for publication: Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces