The Universal Generating Function of Analytical Poisson Structures

@article{Dherin2006TheUG,
  title={The Universal Generating Function of Analytical Poisson Structures},
  author={B. Dherin},
  journal={Letters in Mathematical Physics},
  year={2006},
  volume={75},
  pages={129-149}
}
  • B. Dherin
  • Published 2006
  • Mathematics, Physics
  • Letters in Mathematical Physics
AbstractGenerating functions of Poisson structures are special functions which induce, on open subsets of $$\mathbb{R}^d$$, a Poisson structure together with the local symplectic groupoid integrating it. In a previous paper by A. S. Cattaneo, G. Felder and the author, a universal generating function was provided in terms of a formal power series coming from Kontsevich star product. The present article proves that this universal generating function converges for analytical Poisson structures and… Expand
Formal Symplectic Realizations
Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization
Formal Lagrangian Operad
Cotangent Microbundle Category, I
Symplectic Categories

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