Eight flavors of cyclic homology

DOI10.1215/21562261-2021-0008zbMath1479.55015arXiv2003.02528OpenAlexW3148651651MaRDI QIDQ2038542

Kai Cieliebak, Evgeny Volkov

Publication date: 7 July 2021

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02528

zbMATH Keywords

cyclic homologystring topologyChen's iterated integrals

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

Homotopy Cartan calculus and inner deformations of \(A_{\infty}\)-algebras

Cites Work

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• Differential forms on loop spaces and the cyclic bar complex
• The moment map and equivariant cohomology
• Cyclic homology, derivations, and the free loopspace
• Some algebraic properties of cyclic homology groups
• Cyclic homology and equivariant homology
• Cyclic homology, comodules, and mixed complexes
• Homological algebra related to surfaces with boundary
• Periodic symplectic cohomologies
• Iterated integrals of differential forms and loop space homology
• The homology of matrix Lie algebras over rings and the Hochschild homology
• The Fixed Point Theorem in Equivariant Cohomology
• Iterated path integrals