Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent

Abstract

We construct a canonical deformation quantization for symplectic supermanifolds. This gives a novel proof of the super-analogue of Fedosov quantization. Our proof uses the formalism of Gelfand-Kazhdan descent, whose foundations we establish in the super-symplectic setting.

32 pages. Comments welcome

References in corpus (3)

• Derived coisotropic structures II: stacks and quantization
• Graded Poisson Algebras
• Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index