Formality for Lie algebroids

Abstract

Using Dolgushev's generalization of Fedosov's method for deformation quantization, we give a positive answer to a question of P.Xu: can one prove a formality theorem for Lie algebroids ? As a direct application of this result, we obtain that any triangular Lie bialgebroid is quantizable.

15 pages, final version, to appear in CMP

References in corpus (2)

• Deformation quantization of Poisson manifolds, I
• Quantum groupoids

Cited by in corpus (6)

• Hochschild cohomology and Atiyah classes
• Caldararu's conjecture and Tsygan's formality
• Formality theorems for Hochschild chains in the Lie algebroid setting
• Weak quantization of Poisson structures
• Quantization of formal classical dynamical r-matrices: the reductive case
• A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids