<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>45</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%">Coordinates for non-integrable Lie algebroids</style></title></titles><dates><year><style  face="normal" font="default" size="100%">Forthcoming</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://arxiv.org/abs/2106.12002</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;span&gt;We construct local coordinates for the Weinstein groupoid of a non-integrable Lie algebroid. To this end, we reformulate the notion of bi-submersion in a completely algebraic way and prove the existence of bi-submersions as such for the Weinstein groupoid. This implies that a C*-&lt;/span&gt;&lt;span id=&quot;MathJax-Element-1-Frame&quot; class=&quot;MathJax&quot;&gt;&lt;span id=&quot;MathJax-Span-1&quot; class=&quot;math&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;span id=&quot;MathJax-Span-2&quot; class=&quot;mrow&quot;&gt;&lt;span id=&quot;MathJax-Span-3&quot; class=&quot;msubsup&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;span id=&quot;MathJax-Span-4&quot; class=&quot;mi&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;algebra can be attached to every Lie algebroid.&lt;/span&gt;</style></abstract></record></records></xml>