Affine Yang-Mills-Higgs metrics
arXiv:1208.1578
Abstract
Let (E, φ) be a flat Higgs bundle on a compact special affine manifold M equipped with an affine Gauduchon metric. We prove that (E, φ) is polystable if and only if it admits an affine Yang-Mills-Higgs metric.
Final version; to appear in the "Journal of Symplectic Geometry"