## Journal of Symplectic Geometry

### Affine Yang-Mills-Higgs metrics

#### Abstract

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.

#### Article information

Source
J. Symplectic Geom., Volume 11, Number 3 (2013), 377-404.

Dates
First available in Project Euclid: 12 November 2013