nLab
circle principal bundle
Redirected from "circle principal bundles".
Contents
Context
Bundles
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
Contents
1. Definition
A circle group-principal bundle.
2. 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 November 16, 2024 at 08:40:06.
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