Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent

Published 3 Oct 2021 in math.QA, math.AT, and math.SG | (2110.01007v2)

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.

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Araminta Amabel

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