Introduction to Foliations and Lie Groupoids

ISBN-13: 9780521831970 / Angielski / Twarda / 2003 / 184 str.

Izak Moerdijk; J. Mrcun

Opis

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.

Recenzje

'The book by Moerdijk and Mrcun serves as a concise and user-friendly introduction to the foundations of foliation theory and Lie groupoids, delving into just about all of the above-mentioned facets of the subject, and more. … the book reflects a great deal of care and thought on the part of the authors. … there is no apparent neglect of essential details, and the clarity of exposition is maintained right to the end. 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 treatment of each topic is as admirably self-contained as one might hope for. The instructional value of the book seems quite high, and it could certainly be recommended as text on which to base a graduate course.' Bulletin London Math Society

Spis treści

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.