Introduction to Foliations and Lie Groupoids ebook Moerdijk, I., Mrcun, J. Diesel eBooks

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Home > Technology > Technology General & Other > Introduction to Foliations and Lie Groupoids-eBook

Introduction to Foliations and Lie Groupoids

Moerdijk, I., Mrcun, J.

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This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie algebroids. An important feature is the emphasis on the interplay between these concepts: Lie groupoids form an indispensable tool to study the transverse structure of foliations as well as their noncommutative geometry, while the theory of foliations has immediate applications to the Lie theory of groupoids and their infinitesimal algebroids. The book starts with a detailed presentation of the main classical theorems in the theory of foliations then proceeds to Molino's theory, Lie groupoids, constructing the holonomy groupoid of a foliation and finally Lie algebroids. Among other things, the authors discuss to what extent Lie's theory for Lie groups and Lie algebras holds in the more general context of groupoids and algebroids. Based on the authors' extensive teaching experience, this book contains numerous examples and exercises making it ideal for graduate students and their instructors.

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Title of ebook: Introduction to Foliations and Lie Groupoids
ISBN: 9780511056741
Publisher: Cambridge University Press
Internet download file size: 1949 kb
Pages: 184
Released online for download: 09-17-1999
Author of eBook: Moerdijk, I.
Author of eBook: Mrcun, J.