Hochschild cohomology of Sullivan algebras and mapping spaces

DOI10.1016/J.AJMSC.2018.07.002zbMath1413.55006OpenAlexW2886196782MaRDI QIDQ1713876

Jean Baptiste Gatsinzi

Publication date: 30 January 2019

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2018.07.002

zbMATH Keywords

Hochschild cohomologymapping space\(L_{\infty}\) algebra

Mathematics Subject Classification ID

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

Related Items (3)

Unnamed Item ⋮ On the Hochschild cohomology of a map between commutative differential graded algebras ⋮ Hochschild cohomology of certain Koszul Sullivan Extensions

Cites Work

• \(L_{\infty}\) rational homotopy of mapping spaces
• Hochschild cohomology of a Sullivan algebra
• Brackets in the free loop space homology of some homogeneous spaces
• \(L_{\infty }\) models of based mapping spaces
• A Hodge-type decomposition for commutative algebra cohomology
• On some generalizations of Batalin-Vilkovisky algebras
• Homotopy BV algebras in Poisson geometry
• Monoid of self-equivalences and free loop spaces
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