Sheaves and all that.- The category of differential triads.- Lie sheaves of groups.- Principal sheaves.- Vector and associated sheaves.- Connections on principal sheaves.- Connections on vector and associated sheaves.- Curvature.- Chern-Weil theory.- Applications and further examples.
From the reviews of the first edition:
The book provides an accessible, well-written monograph devoted to the theory of principal sheaves and their connections in the setting initiated by, Geometry of vector sheaves. & It is designed also as a reference book with detailed expositions and complete and self-contained proofs. (Witold Mozgawa, Zentralblatt MATH, Vol. 1082, 2006)
First book to treat connections on principal and associated sheaves
Opens a new algebraic perspective into the geometry of fiber bundles
Provides a non-smooth platform for potential applications to physics
NL
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