Download E-books Introduction to Foliations and Lie Groupoids (Cambridge Studies in Advanced Mathematics) PDF

This publication provides a short creation to the speculation of foliations, Lie groupoids and Lie algebroids. a tremendous function is the emphasis at the interaction among those thoughts: Lie groupoids shape an necessary device to check the transverse constitution of foliations in addition to their noncommutative geometry, whereas the speculation of foliations has instant functions to the Lie idea of groupoids and their infinitesimal algebroids. The ebook starts off with a close presentation of the most classical theorems within the concept of foliations then proceeds to Molino's thought, Lie groupoids, developing the holonomy groupoid of a foliation and eventually Lie algebroids. between different issues, the authors talk about to what volume Lie's thought for Lie teams and Lie algebras holds within the extra common context of groupoids and algebroids. in line with the authors' large educating adventure, this e-book includes a variety of examples and routines making it perfect for graduate scholars and their teachers.

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