Bimodules and branes in deformation quantization

DOI10.1112/S0010437X10004847zbMath1264.53082arXiv0908.2299OpenAlexW2165352630MaRDI QIDQ3077176

Damien Calaque, Andrea Ferrario, Giovanni Felder, Carlo Antonio Rossi

Publication date: 22 February 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2299

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Differential graded algebras and applications (associative algebraic aspects) (16E45)

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Biquantization of symmetric pairs and the quantum shift, A note on the Koszul complex in deformation quantization, Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry, Operads, configuration spaces and quantization, Koszul duality in quantum field theory, The Chevalley-Eilenberg complex and deformation quantization in presence of two branes, The explicit equivalence between the standard and the logarithmic star product for Lie algebras. I., Deformation quantization with generators and relations, The explicit equivalence between the standard and the logarithmic star product for Lie algebras. II., Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras, Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras

Cites Work

• Quantification pour les paires symétriques et diagrammes de Kontsevich
• Introduction to \(A\)-infinity algebras and modules