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Geometry of Principal Sheaves de Efstathios Vassiliou

Geometry of Principal Sheaves: Mathematics and Its Applications, cartea 578

Autor Efstathios Vassiliou
en Limba Engleză Hardback – 4 mai 2005

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Specificații

ISBN-13: 9781402034152
ISBN-10: 1402034156
Pagini: 444
Ilustrații: XVI, 444 p.
Dimensiuni: 156 x 232 x 33 mm
Greutate: 0.82 kg
Ediția:2005
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.

Recenzii

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)

Caracteristici

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