A note on the Koszul complex in deformation quantization

DOI10.1007/S11005-010-0439-8zbMath1211.53102arXiv1002.2561OpenAlexW2059135073MaRDI QIDQ621816

Andrea Ferrario, Thomas Willwacher, Carlo Antonio Rossi

Publication date: 28 January 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2561

zbMATH Keywords

deformation quantization\(A_\infty\)-algebrasKoszul duality\(A_\infty\)-bimodules

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (1)

The Chevalley-Eilenberg complex and deformation quantization in presence of two branes

Cites Work

• Deformation quantization with generators and relations
• Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
• Relative formality theorem and quantisation of coisotropic submanifolds
• Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality
• Deformation quantization of Poisson manifolds
• A counterexample to the quantizability of modules
• Bimodules and branes in deformation quantization
• Introduction to \(A\)-infinity algebras and modules

This page was built for publication: A note on the Koszul complex in deformation quantization