nLab
circle principal bundle
Contents
Context
Bundles
bundles
Context
Classes of bundles
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covering space
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retractive space
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fiber bundle, fiber ∞-bundle
numerable bundle
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principal bundle, principal ∞-bundle
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associated bundle, associated ∞-bundle
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vector bundle, 2-vector bundle, (∞,1)-vector bundle
real, complex/holomorphic, quaternionic
topological, differentiable, algebraic
with connection
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bundle of spectra
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natural bundle
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equivariant bundle
Universal bundles
Presentations
Examples
Constructions
Contents
Definition
A circle group-principal bundle.
Properties
Relation to complex line bundles
Under the standard linear representation of on the complex numbers the associated bundle to a -principal bundle is a complex line bundle.
Last revised on January 27, 2021 at 17:35:39.
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