General Theory of Lie Groupoids and Lie Algebroids pdf epub mobi txt 電子書 下載2025
- Lie groupoids
- Lie algebroids
- Differential geometry
- Category theory
- Homological algebra
- Mathematical physics
- Topology
- Algebra
- Calculus
- Geometry
具體描述
This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.
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