General Theory of Lie Groupoids and Lie Algebroids
General Theory of Lie Groupoids and Lie Algebroids
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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.
- 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
Product details
July 2005Paperback
9780521499286
540 pages
229 × 152 × 31 mm
0.79kg
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
- Appendix
- Bibliography
- Index.
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