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Dimensional reduction of the perturbed Hermitian-Einstein equation

Steven B. Bradlow·James F. Glazebrook·Franz W. Kamber
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Abstract

Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomorphic vector bundles. With respect to special metrics on the holomorphic bundles, there is a dimensional reduction procedure which reduces these equations to a system of equations on the base, known as the twisted coupled vortex equations.

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Steven B. Bradlow, James F. Glazebrook, Franz W. Kamber. 2004-05-12. Dimensional reduction of the perturbed Hermitian-Einstein equation. https://arxiv.org/abs/math/0405205

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