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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References

SHOWING 1-10 OF 32 REFERENCES
Formal Symplectic Groupoid
Formal Symplectic Realizations
The Universal Generating Function of Analytical Poisson Structures
Deformation Quantization of Poisson Manifolds
A Path Integral Approach¶to the Kontsevich Quantization Formula
Symplectic Microgeometry IV: Quantization.
Associativity and Integrability
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