Geometric quantization and the integrability of Lie algebroids

Citation:

Androulidakis I. Geometric quantization and the integrability of Lie algebroids. Bull. Greek Math. Soc. 2006;51:15-21.

Abstract:

Given a Poisson manifold P, if there exists a symplectic manifold Σ and a surjective submersion Σ → then it is possible to quantize Σ and then “push” the results to P. This method of quantizing a Poisson manifold is known as symplectic realisation. In this paper we illustrate how this method is related with the integrability of Lie algebroids.