The Kobayashi-Hitchin correspondence is established for mini-holomorphic bundles on certain 3-folds.
problem Establishing a correspondence between mini-holomorphic bundles and HE-monopoles.
method Defining mini-holomorphic bundles, Dirac-type singularities, and admissible BHE-metrics.
result A special Hermitian metric (admissible BHE-metric) exists on slope stable mini-holomorphic bundles.