INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS PDF

Introduction to Foliations and Lie Groupoids. Moerdijk , J. 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.

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Tamas Szamuely. Christopher Bishop. James C. Tullio Ceccherini-Silberstein. Bodil Branner. Brian Davies. Hiroyuki Matsumoto. Hugh L. Peter Webb. Greg W. Kiran S. Bernard Helffer. Vern I. Home Contact us Help Free delivery worldwide. Free delivery worldwide. Bestselling Series. Harry Potter. Popular Features. Home Learning. Introduction to Foliations and Lie Groupoids.

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. Other books in this series. Basic Category Theory Tom Leinster. Add to basket. Real Analysis and Probability R.

Fractals in Probability and Analysis Christopher Bishop. Algebraic Groups J. Linear Operators and their Spectra E. Stochastic Analysis Hiroyuki Matsumoto. Spectral Theory and its Applications Bernard Helffer. 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. Review quote 'The book is based on course lecture notes and it still keeps its qualities and nice presentation.

Those interested in the subject should find the book a delight to work through, and should thereby find a pathway into the more specialized topics mentioned earlier. The instructional value of the book seems quite high, and it could certainly be recommended as text on which to base a graduate course. The student who would like a brief but substantial introduction to foliation theory will find it rewarding, but should be prepared for some hard work. There are many exercises, often challenging, and these illuminate the ideas and sometimes incorporate significant steps of proofs.

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Introduction to Foliations and Lie Groupoids

We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 3 business days When will my order arrive? Tom Leinster. Alexander Kirillov. Jon Berrick. Philipp Fleig.

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