Hochschild cohomology of certain Koszul Sullivan Extensions

DOI10.2989/16073606.2021.1977733OpenAlexW3211048635MaRDI QIDQ5872817

Oteng Maphane, Jean Baptiste Gatsinzi

Publication date: 4 January 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1977733

zbMATH Keywords

Hochschild cohomology

Mathematics Subject Classification ID

Rational homotopy theory (55P62)

Cites Work

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• Hochschild cohomology of a Sullivan algebra
• Group actions on algebras and the graded Lie structure of Hochschild cohomology.
• Gerstenhaber duality in Hochschild cohomology
• Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
• A model for cyclic homology and algebraic K-theory of 1-connected topological spaces
• Rational fibrations, homogeneous spaces with positive Euler characteristics and Jacobians
• Rational homotopy of Serre fibrations
• Rational universal fibrations and flag manifolds
• Infinitesimal computations in topology
• BV structure on the Hochschild cohomology of Sullivan algebras
• Hochschild cohomology of Sullivan algebras and mapping spaces
• The cohomology structure of an associative ring
• Finiteness in the Minimal Models of Sullivan

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