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Geometry of Principal Sheaves

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ISBN-10: 1402034156

ISBN-13: 9781402034152

Edition: 2005

Authors: Efstathios Vassiliou

List price: $159.99
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Description:

The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is…    
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Book details

List price: $159.99
Copyright year: 2005
Publisher: Springer Netherlands
Publication date: 5/4/2005
Binding: Hardcover
Pages: 444
Size: 6.50" wide x 9.50" long x 1.00" tall
Weight: 2.090
Language: English

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
Bibliography
List of symbols
Subject index