Gerstenhaber duality in Hochschild cohomology

DOI10.1016/j.jpaa.2004.11.004zbMath1076.55003OpenAlexW2001492846MaRDI QIDQ555958

Jean-Claude Thomas, Yves Félix, Luc Menichi

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.004

zbMATH Keywords

Hochschild cohomologyloop space homologyGerstenhaber algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Loop spaces (55P35) Homological methods in Lie (super)algebras (17B55) Nonassociative algebras satisfying other identities (17A30)

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Cites Work

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• Hochschild cohomology and derived Picard groups.
• The Hochschild cohomology of a closed manifold
• The cohomology structure of an associative ring
• Hopf Algebras up to Homotopy
• The cohomology ring of free loop spaces
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