Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent
Quantum Algebra
2022-04-13 v2 Algebraic Topology
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2110.01007,
title = {Deformation Quantization for Supermanifolds via Gelfand-Kazhdan Descent},
author = {Araminta Amabel},
journal= {arXiv preprint arXiv:2110.01007},
year = {2022}
}
Comments
32 pages. Comments welcome