Introduction to foliations and Lie groupoids:
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 g...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
91 |
| Links: | https://doi.org/10.1017/CBO9780511615450 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (ix, 173 Seiten) |
| ISBN: | 9780511615450 |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 91 | |
| 520 | |a 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. | ||
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| spelling | Moerdijk, Ieke Introduction to foliations and Lie groupoids I. Moerdijk and J. Mrc̆un Introduction to Foliations & Lie Groupoids Cambridge Cambridge University Press 2003 1 Online-Ressource (ix, 173 Seiten) txt c cr Cambridge studies in advanced mathematics 91 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. Mrc̆un, J. 1966- Erscheint auch als Druck-Ausgabe 9780521539609 Erscheint auch als Druck-Ausgabe 9780521831970 |
| spellingShingle | Moerdijk, Ieke Introduction to foliations and Lie groupoids |
| title | Introduction to foliations and Lie groupoids |
| title_alt | Introduction to Foliations & Lie Groupoids |
| title_auth | Introduction to foliations and Lie groupoids |
| title_exact_search | Introduction to foliations and Lie groupoids |
| title_full | Introduction to foliations and Lie groupoids I. Moerdijk and J. Mrc̆un |
| title_fullStr | Introduction to foliations and Lie groupoids I. Moerdijk and J. Mrc̆un |
| title_full_unstemmed | Introduction to foliations and Lie groupoids I. Moerdijk and J. Mrc̆un |
| title_short | Introduction to foliations and Lie groupoids |
| title_sort | introduction to foliations and lie groupoids |
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