Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)

DOI10.1007/BF00533212zbMath0731.19004MaRDI QIDQ807741

Micheline Vigué-Poirrier

Publication date: 1991

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

zbMATH Keywords

decompositionscyclic homologyHochschild homologydifferential graded commutative algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Loop spaces (55P35) (K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items

Dual Hodge decompositions and derived Poisson brackets, Projective configurations, homology of orthogonal groups, and Milnor \(K\)-theory, Unnamed Item, The cyclic homology of affine algebras, Theory of Koszul operads and homology of Poisson algebras, Cartan calculus in string topology, The Hochschild complex of a twisting cochain, On the mapping space homotopy groups and the free loop space homology groups, Adams operations, iterated integrals and free loop spaces cohomology, Frobenius rational loop algebra, Cyclic homology of hypersurfaces, Decomposition of the Hochschild and cyclic homology of commutative differential graded algebras, Cyclic homology, tight crossed products, and small stabilizations, On the Hodge decomposition of differential graded bi-algebras., Generic algebras and iterated Hochschild homology, Rational BV-algebra in string topology, Scissors congruences and the bar and cobar constructions., Rational model for the string coproduct of pure manifolds, Hodge decomposition for higher order Hochschild homology, Split bounded extension algebras and Han's conjecture

Cites Work

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• Cyclic homology of algebraic hypersurfaces
• The action of \(S_ n\) on the components of the Hodge decomposition of Hochschild homology
• Cyclic homology and the Lie algebra homology of matrices
• Cyclic homology, derivations, and the free loopspace
• Cyclic homology and equivariant homology
• A Hodge-type decomposition for commutative algebra cohomology
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)