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arxiv: 1208.1578 · v1 · pith:LXOW5TXGnew · submitted 2012-08-08 · 🧮 math.DG · math.AG· math.SG

Affine Yang-Mills-Higgs metrics

classification 🧮 math.DG math.AGmath.SG
keywords affinemetricvarphiyang-mills-higgsadmitsbundlecompactequipped
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Let (E, \varphi) be a flat Higgs bundle on a compact special affine manifold M equipped with an affine Gauduchon metric. We prove that (E, \varphi) is polystable if and only if it admits an affine Yang-Mills-Higgs metric.

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