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Principal Bundles*

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series

Abstract

A good command of the theory of principal bundles is essential for mastery of modern differential geometry (cf. [22], [23]). In recent years, principal bundles have also become central to key advances in mathematical physics (Yang-Mills theory) which have in turn generated exciting new mathematics (e.g., S. K. Donaldson’s work on differentiable 4-dimensional manifolds [7], [11]). This chapter will be a brief introduction to principal bundles.

Keywords

Vector Bundle Principal Bundle Holonomy Group Linear Isomorphism Smooth Section 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2008

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