Operadic structure on the Gerstenhaber-Schack complex for prestacks

DOI10.1007/s00029-022-00759-1zbMath1484.18010arXiv2010.07008OpenAlexW3092705802MaRDI QIDQ832413

Wendy Lowen, Hoang Dinh Van, Lander Hermans

Publication date: 25 March 2022

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07008

zbMATH Keywords

Hochschild cohomologyoperad\(L_\infty\)-algebrabrace operationsGerstenhaber-Schack complexprestack

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Operads (general) (18M60)

Related Items

Operations on the Hochschild bicomplex of a diagram of algebras

Cites Work

• The \(L_\infty\)-deformation complex of diagrams of algebras
• The Gerstenhaber-Schack complex for prestacks
• Deformation quantization of Poisson manifolds
• Deformation-obstruction theory for diagrams of algebras and applications to geometry
• A Hochschild cohomology comparison theorem for prestacks
• On the Deformation of Algebra Morphisms and Diagrams
• Algebroid prestacks and deformations of ringed spaces
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