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Invariant connections and invariant holomorphic bundles on homogeneous manifolds

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Biswas I., Teleman A.

Open Mathematics

2014

tom 12

nr 1

1-13

Let X be a differentiable manifold endowed with a transitive action α: A×X→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: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when X has an α-invariant complex structure).

Ograniczanie wyników

1 Open Mathematics

1 Biswas I.

1 Teleman A.

1 2014

Wyniki wyszukiwania

Invariant connections and invariant holomorphic bundles on homogeneous manifolds