Geometry of Principal Sheaves

Name: Geometry of Principal Sheaves
Price: 36.36 USD
Availability: InStock
ISBN: 9781402034152

ISBN-10: 1402034156

ISBN-13: 9781402034152

Edition: 2005

Authors: Efstathios Vassiliou

List price: $109.99

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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…

Book details

List price: $109.99
Copyright year: 2005
Publisher: Springer Netherlands
Publication date: 5/4/2005
Binding: Hardcover
Pages: 444
Size: 6.14" wide x 9.13" long x 1.00" tall
Weight: 4.004
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