Deformation Quantization of A-infinity Equivalences

Abstract

We show that Deformation Quantization of quadratic Poisson structures preserves the $A_{\infty }$-Morita equivalence of a given pair of Koszul dual $A_{\infty }$-algebras.

arXiv comment49 pages

References in corpus (5)

• Deformation quantization of Poisson manifolds, I
• Relative formality theorem and quantisation of coisotropic submanifolds
• Bimodules and branes in deformation quantization
• A note on the Koszul complex in deformation quantization
• Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality