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- W4297583532 abstract "Let $X$ be a differentiable manifold endowed with a transitive action $alpha:Atimes Xlongrightarrow X$ of a Lie group $A$. Let $K$ be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: {enumerate} equivalence classes of $alpha$-invariant $K$-connections on $X$, $alpha$-invariant gauge classes of $K$-connections on $X$, and $alpha$-invariant isomorphism classes of pairs $(Q,P)$ consisting of a holomorphic $K^C$-bundle $Qlongrightarrow X$ and a $K$-reduction $P$ of $Q$ (when $X$ has an $alpha$-invariant complex structure). {enumerate}" @default.
- W4297583532 created "2022-09-30" @default.
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- W4297583532 date "2013-05-15" @default.
- W4297583532 modified "2023-09-30" @default.
- W4297583532 title "Invariant connections and invariant holomorphic bundles on homogeneous manifolds" @default.
- W4297583532 doi "https://doi.org/10.48550/arxiv.1305.3430" @default.
- W4297583532 hasPublicationYear "2013" @default.
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