Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles

Abstract

In this paper, using Donaldson's heat flow, we show that the semi-stability of a Higgs bundle over a compact Kähler manifold implies the existence of approximate Hermitian-Einstein structure on the Higgs bundle.

References in corpus (1)

• Dimensional reduction, SL(2,C)-equivariant bundles and stable holomorphic chains

Cited by in corpus (1)

• Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. II: Higgs sheaves and admissible structures