<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Iakovos Androulidakis</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Geometric quantization and the integrability of Lie algebroids</style></title><secondary-title><style face="normal" font="default" size="100%">Bull. Greek Math. Soc.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2006</style></year></dates><volume><style face="normal" font="default" size="100%">51</style></volume><pages><style face="normal" font="default" size="100%">15-21</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;page&quot;&gt;
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&lt;p&gt;&lt;span&gt;Given a Poisson manifold&amp;nbsp;&lt;/span&gt;&lt;span&gt;P&lt;/span&gt;&lt;span&gt;, if there exists a symplectic manifold Σ and a surjective submersion Σ&amp;nbsp;&lt;/span&gt;&lt;span&gt;→&amp;nbsp;&lt;/span&gt;&lt;span&gt;P&amp;nbsp;&lt;/span&gt;&lt;span&gt;then it is possible to quantize Σ and then “push” the results to&amp;nbsp;&lt;/span&gt;&lt;span&gt;P&lt;/span&gt;&lt;span&gt;. 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.&lt;/span&gt;&lt;/p&gt;
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