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Polystable parabolic principal \(G\)-bundles and Hermitian-Einstein connections. (English) Zbl 1261.32003

Summary: We show that there is a bijective correspondence between the polystable parabolic principal \(G\)-bundles and solutions of the Hermitian-Einstein equation.

MSC:

32L05 Holomorphic bundles and generalizations
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
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