Introduction to Foliations and Lie Groupoids

Moerdijk I., Mrcun J.0-511-06307-5

The relations between foliations, Lie groupoids, and Lie algebroids are a main emphasis of this quick introduction for students who are familiar with the basic concepts of differential geometry. Lie groupoids are the main tool for studying the transversal structure of a foliation, by means of its holonomy groupoid; foliations are also a special kind of Lie algebroids; and the elementary theory of foliations is a useful tool for studying Lie groupoids and Lie algebroids. And that is only the surface.