Introduction to Foliations and Lie Groupoids

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  4. INTRODUCTION TO FOLIATIONS AND LIE GROUPOIDS (Cambridge Studies in Advanced Mathematics 91).
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    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.


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    More details about: University of Warwick Library. Introduction to foliations and Lie groupoids Show more Show less Author. Moerdijk, Ieke. Cambridge studies in advanced mathematics ; 91 Cambridge studies in advanced mathematics ; Cambridge, U. Physical description.

    Introduction to Foliations and Lie Groupoids

    Includes bibliographical references p. Foliations Mathematics Lie groupoids. Bibliography Illustrated. Holdings information at the University of Warwick Library Requesting live circulation data Live circulation data is not available. Displaying live circulation data.

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    Moerdijk, Ieke [author]. Other titles. Cambridge : Cambridge University Press Local notes.

    Title from publisher's bibliographic system viewed on 05 Oct Related item. Print version: : ; ISBN: Summary 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.

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