Affine Yang-Mills-Higgs metrics
Differential Geometry
2013-08-23 v1 Algebraic Geometry
Symplectic Geometry
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.
Cite
@article{arxiv.1208.1578,
title = {Affine Yang-Mills-Higgs metrics},
author = {Indranil Biswas and John Loftin and Matthias Stemmler},
journal= {arXiv preprint arXiv:1208.1578},
year = {2013}
}
Comments
Final version; to appear in the "Journal of Symplectic Geometry"