The Hopf Fibration: an Example of a Nontrivial Principal Bundle

The Hopf bundle, also called the Hopf fibration, is a relatively simple example of a principal bundle. A principal bundle is a mathematical structure that is important in the study of gauge fields. Articles 70621 and 76708 introduced some of the general concepts, and this article uses the Hopf bundle to illustrate a few of them in detail.

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Revision history

2024-12-08 (changed title to use a more common name, added another reference about lens spaces, corrected a math symbol that was mistakenly rendered as the word "baseman", added publication info for one reference)
2023-11-12 (made project euclid url shorter)
2023-10-05 (expanded the description of other circle bundles, added a footnote, and added a reference)
2023-10-01 (first version)

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updated 2024-12-14

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The Hopf Fibration: an Example of a Nontrivial Principal Bundle

Revision history