Introduction to Foliations and Lie Groupoids

$48.00

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. Additional ISBNs 0521831970, 0511056745, 9780521831970, 9780511056741Introduction to Foliations and Lie Groupoids 1st Edition is written by I. Moerdijk; J. Mrcun and published by Cambridge University Press. ISBNs for Introduction to Foliations and Lie Groupoids are 9780511056741, 0511056745 and the print ISBNs are 9780521831970, 0521831970. Additional ISBNs include 0521831970, 0511056745, 9780521831970, 9780511056741.

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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. Additional ISBNs 0521831970, 0511056745, 9780521831970, 9780511056741Introduction to Foliations and Lie Groupoids 1st Edition is written by I. Moerdijk; J. Mrcun and published by Cambridge University Press. ISBNs for Introduction to Foliations and Lie Groupoids are 9780511056741, 0511056745 and the print ISBNs are 9780521831970, 0521831970. Additional ISBNs include 0521831970, 0511056745, 9780521831970, 9780511056741.