Hochschild homology criteria for trivial algebra structures

DOI10.1090/S0002-9947-02-03053-2zbMath1019.18010MaRDI QIDQ3151212

Micheline Vigué-Poirrier

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cyclic homologyHochschild homologyfree loop spaceaugmented algebraminimal model of differential graded algebra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Modules of differentials (13N05)

Cites Work

• On the chain algebra of a loop space
• A model of Adams-Hilton type for fiber squares
• Cyclic homology and the Lie algebra homology of matrices
• Cyclic homology, derivations, and the free loopspace
• Cyclic homology and algebraic K-theory of spaces. II
• Cyclic homology and equivariant homology
• The homology of a free loop space
• \(p\)-formality of spaces
• Minimal models in homotopy theory
• Obstructions to homotopy equivalences
• Analytic properties of Poincaré series of spaces
• On the equivariant homotopy of free abelian groups on \(G\)-spaces and \(G\)-spectra
• Periodic geodesics on compact Riemannian manifolds
• Differential Forms On Regular Affine Algebras
• Homotopie rationnelle et croissance du nombre de géodésiques fermées
• On the Betti numbers of the free loop space of a coformal space
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