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Results tagged with connections
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user 62367
Ehresmann connections; covariant derivatives; connections on vector bundles, principal bundles, ∞-bundles, submersions, bundle gerbes; holonomy and higher holonomy; parallel transport; torsion; curvature. See also the tags [principal-bundles], [vector-bundles], [gerbes], [curvature], [geodesics], [characteristic-classes], [torsion].
32
votes
2
answers
2k
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Unifying Geometry for Characteristic Classes
When working with characteristic classes (more concretely Chern classes), one finds at least four essentially distinct approaches:
Axiomatic Approach. See, for instance, Vector Bundles and K-Theory, …
- 2,091
3
votes
2
answers
1k
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Yang-Mills Functional and Energy
I have a question about the meaning of Yang-Mills Functional.
It is stated everywhere that the Yang-Mills Functional is a measure of energy. But the formal definition of the Yang-Mills Functional is: …
- 2,091
0
votes
1
answer
1k
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Wedge product of Endomorphism-Valued Forms
EDIT: See the discution below about the definition of Wikipedia and the relationship with the curvature of connections in vector bundles. …
- 2,091