Details

Autor(en) / Beteiligte

• Biswas, Indranil
• Teleman, Andrei

Titel

Invariant connections and invariant holomorphic bundles on homogeneous manifolds

Ist Teil von

• Central European journal of mathematics, 2014, Vol.12 (1), p.1-13

Ort / Verlag

Vienna: Springer Vienna

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 , and α -invariant isomorphism classes of pairs ( Q,P ) consisting of a holomorphic K ℂ -bundle Q → X and a K -reduction P of Q (when X has an α -invariant complex structure).