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Results tagged with connections
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user 12605
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].
7
votes
Yang-Mills over surfaces
In general it is not in the center of $\frak g$. The curvature of a Yang-Mills connection in this dimension is parallel which means it commutes with the image of holonomy representation which need no …
- 3,439
15
votes
Accepted
Embedding of a bundle with connection into a bundle with flat connection?
The paper “Existence of universal connections” by Narasimhan, M. S.; Ramanan, S. proves that the Grassmannian is universal for connections not just bundles. …
- 3,439