INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS by Ieke Moerdijk, Janez Mrcun ( 9780521831970 )

Item Details

Title:

INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS

By:

Ieke Moerdijk, Janez Mrcun

Format:

Hardback

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£69.00

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£60.38

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ISBN 10:

0521831970

ISBN 13:

9780521831970

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

18 September, 2003

Series:

Cambridge Studies in Advanced Mathematics No.91

Pages:

184

Description:

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

Synopsis:

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.

Illustrations:

30 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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