@article {11485, title = {Geometric quantization and the integrability of Lie algebroids}, journal = {Bull. Greek Math. Soc.}, volume = {51}, year = {2006}, pages = {15-21}, abstract = {

Given a Poisson manifold\ P, if there exists a symplectic manifold Σ and a surjective submersion Σ\ {\textrightarrow}\ P\ then it is possible to quantize Σ and then {\textquotedblleft}push{\textquotedblright} 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.

}, author = {Iakovos Androulidakis} }