Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Keyword(s):
Group A
◽
AbstractLet 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).
2012 ◽
Vol 26
(25)
◽
pp. 1246006
Keyword(s):
1958 ◽
Vol 13
◽
pp. 135-156
◽
Keyword(s):
2020 ◽
Vol 296
(3-4)
◽
pp. 1157-1183
◽
1992 ◽
Vol 46
(2)
◽
pp. 295-310
◽
2016 ◽
Vol 68
(2)
◽
pp. 258-279
◽
Keyword(s):