Results 221 to 230 of about 26,110 (262)

a review of Diffeological principal bundles and principal infinity bundles. by Minichiello, Emilio

open access: yesa review of Diffeological principal bundles and principal infinity bundles. by Minichiello, Emilio
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Coverings in the Category of Principal Bundles

Russian Mathematics, 2021
The main object of this paper is to study regular coverings in the category of smooth principal bundles \(\xi = (E, p, B, G)\) with connected bases \(B\) and structural groups \(G\). A smooth principal bundle is a quadruple \(\xi = (E, p, B, G)\), where \(E\) and \(B\) are smooth manifolds, \(p\colon E \rightarrow B\) is a smooth mapping, and \(G\) is ...
Yakovlev E I, E I Yakovlev
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Principal Bundles

2020
This chapter examines principal bundles. Throughout the chapter, G will be a topological group. It then defines a principal G-bundle and provides a criterion for a map to be a principal G-bundle. This is followed by several examples of principal G-bundles.
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Cohomology of Flat Principal Bundles

Proceedings of the Edinburgh Mathematical Society, 2018
AbstractWe invoke the classical fact that the algebra of bi-invariant forms on a compact connected Lie groupGis naturally isomorphic to the de Rham cohomologyH*dR(G) itself. Then, we show that when a flat connectionAexists on a principalG-bundleP, we may construct a homomorphismEA:H*dR(G)→H*dR(P), which eventually shows that the bundle satisfies a ...
Byun, Yanghyun, Kim, Joohee
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A covering property in principal bundles

2018
Summary: Let \(p:X\to B\) be a locally trivial principal \(G\)-bundle and \(\widetilde{p}:\widetilde{X}\to B\) be a locally trivial principal \(\widetilde{G}\)-bundle. In this paper, by using the structure of principal bundles according to transition functions, we show that \(\widetilde{G}\) is a covering group of \(G\) if and only if \(\widetilde{X}\)
Pakdaman, A., Attary, M.
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Stable Pairs and Principal Bundles

The Quarterly Journal of Mathematics, 2000
Let \(K\) be a connected compact Lie group, \(G\) its complexification, \(X\) a compact Kähler manifold, and \(E\to X\) be a principal holomorphic \(G\)-bundle over \(X\). Let \(W\) be a complex vector space and \(\rho: K\to U(W)\) a unitary representation of \(K\), which lifts to a representation \(\widetilde\rho\) of \(G\) and let \(V\to X\) be the ...
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