The Universal Generating Function of Analytical Poisson Structures

Author： Dherin Benoit  

Publisher： Springer Publishing Company

ISSN： 0377-9017

Source： Letters in Mathematical Physics, Vol.75, Iss.2, 2006-02, pp. : 129-149

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Abstract

Generating functions of Poisson structures are special functions which induce, on open subsets of , 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 shows that the induced local symplectic groupoid coincides with the phase space of Karasev–Maslov

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