Introduction to foliations and Lie groupoids

Author(s)

• Moerdijk, Ieke
• Mrčun, J.

Bibliographic Information

Introduction to foliations and Lie groupoids

I. Moerdijk and J. Mrčun

（Cambridge studies in advanced mathematics, 91）

Cambridge University Press, 2003

• : hardback

Note

Includes bibliographical references (p. 166-169) and index

Description and Table of Contents

Description

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.

Table of Contents

• Preface
• Prerequisites
• 1. Foliations
• 2. Holonomy and stability
• 3. Two classical theorems
• 4. Molino's theory
• 5. Lie groupoids
• 6. Lie algebroids
• References and further reading
• Index.

by "Nielsen BookData"

Details

• NCID: BA63818689
• ISBN:
  • 9780521831970
• LCCN: 2003046172
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: ix, 173 p.
• Size: 24 cm
• Classification:
  • LCC : QA613.62
  • DC21 : 514/.72
• Subject Headings:
  • LCSH : Foliations (Mathematics)
  • LCSH : Lie groupoids
• Parent Bibliography ID:
  • BA00109761