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This comprehensive modern account of the theory of Lie groupoids and Lie algebroids reveals their importance in differential geometry, in particular, their relations with Poisson geometry and general connection theory. It covers much research since the mid 1980s, including the first analysis in book form of Poisson groupoids, Lie bialgebroids and double vector bundles. The volume will be of great interest to all learning the modern theory of Lie groupoids and Lie algebroids.Read more
- Book includes many results which have never appeared in book form before
- Massive expansion of a successful earlier book
- A thorough and detailed account of the subject
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- Date Published: July 2005
- format: Paperback
- isbn: 9780521499286
- length: 540 pages
- dimensions: 229 x 152 x 31 mm
- weight: 0.79kg
- availability: Available
Table of Contents
Part I. The General Theory:
1. Lie groupoids: fundamental theory
2. Lie groupoids: algebraic constructions
3. Lie algebroids: fundamental theory
4. Lie algebroids: algebraic constructions
Part II. The Transitive Theory:
5. Infinitesimal connection theory
6. Path connections and Lie theory
7. Cohomology and Schouten calculus
8. The cohomological obstruction
Part III. The Poisson and Symplectic Theories:
9. Double vector bundles
10. Poisson structures and Lie algebras
11. Poisson and symplectic groupoids
12. Lie bialgebroids
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