Corpus ID: 226246007

# Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization

@article{Cabrera2020GeneratingFF,
title={Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization},
author={A. Cabrera},
journal={arXiv: Symplectic Geometry},
year={2020}
}
• A. Cabrera
• Published 2020
• Mathematics, Physics
• arXiv: Symplectic Geometry
This paper contains three results about generating functions for Lie-theoretic integration of Poisson brackets and their relation to quantization. In the first, we show how to construct a generating function associated to the germ of any local symplectic groupoid and we provide an explicit (smooth, non-formal) universal formula $S_\pi$ for integrating any Poisson structure $\pi$ on a coordinate space. The second result involves the relation to semiclassical quantization. We show that the formal… Expand
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