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.
General
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