On the Hochschild cohomology of a map between commutative differential graded algebras

DOI10.1515/taa-2022-0119OpenAlexW4295882761MaRDI QIDQ2079542

Oteng Maphane, Jean Baptiste Gatsinzi

Publication date: 30 September 2022

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/taa-2022-0119

zbMATH Keywords

Hochschild cohomologymapping space\(\phi\)-derivations

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Function spaces in general topology (54C35)

Cites Work

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• \(L_{\infty}\) rational homotopy of mapping spaces
• Hochschild cohomology of a Sullivan algebra
• \(L_{\infty }\) models of based mapping spaces
• Gerstenhaber duality in Hochschild cohomology
• Relative formality theorem and quantisation of coisotropic submanifolds
• Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
• Infinitesimal computations in topology
• Hochschild cohomology of Sullivan algebras and mapping spaces
• Rational homotopy theory
• Monoid of self-equivalences and free loop spaces
• Strongly homotopy lie algebras

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