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Results tagged with principal-bundles
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user 3473
A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $\pi :P → X$ together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them.
2
votes
Given a Lie $2$-group $G$ does every principal $G$ $2$-bundle admit a $2$-connection?
It depends on what version of connection on principal 2-bundles you consider. There are at least four versions:
Fake-flat connections, these are the ones that have a well-defined 2-dimensional parall …
- 4,519
3
votes
Accepted
Connection Transformation Formula; Degree 3 Cech Cohomology
The equality follows directly from the definition of a connection, and is independent of the context of lifting structure groups, or degree three cohomology.
Recall that a connection on a principal $ …
- 4,519
2
votes
Accepted
Classification of principal G-bundles over a differentiable stack
They key insight is that the bicategory of differentiable stacks is equivalent to the bicategory of Lie groupoids, where the 1-morphisms are so-called bibundles, or Hilsum-Skandalis morphisms. Under t …
- 4,519