Introduction to Foliations and Lie Groupoids

I. Moerdijk, J. Mrcun

ISBN 10: 0521831970 / ISBN 13: 9780521831970

Published by Cambridge University Press, GB, 2003

About this Item

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.

Seller Inventory # LU-9780521831970

Bibliographic Details

• Title: Introduction to Foliations and Lie Groupoids
• Publisher: Cambridge University Press, GB
• Publication Date: 2003
• Language: English
• ISBN 10: 0521831970
• ISBN 13: 9780521831970
• Binding: Hardback
• Condition: New
• Weight: 415 grams

About this title

Synopsis

Based on a graduate course taught at Utrecht University, this book provides a short introduction to the theory of Foliations and Lie Groupoids to students who have already taken a first course in differential geometry. Ieke Moerdijk and Janez Mrcun include detailed references to enable students to find the requisite background material in the research literature. The text features many exercises and worked examples.

Book Description

Based on a graduate course taught at Utrecht University this book gives a short introduction to the theory of Foliations and Lie Groupoids to students who have already taken a first course in differential geometry. The spirit of the book is very much that of a short introduction, and the authors have given detailed references to enable students to find the requisite background material in the literature. There are plenty of exercises and worked examples to help students through the book.