关键词: 箭图丛, 仿射(σ,τ)-半稳定, 渐近仿射(σ,τ)-Hermite-Yang-Mills结构

Abstract: By using Uhlenbeck-Yau’s continuity method, we prove the existence of an approximate affine (σ,τ)-Hermite-Yang-Mills structure on affine (σ,τ)-semi-stable twisted quiver bundles R with a compact affine Gauduchon manifold as the base manifold. The obtained result can be viewed as an extension of classical results on quiver bundles.

Key words: quiver bundle, affine (σ,τ)-semi-stable, approximate affine (σ,τ)-Hermite-Yang-Mills structure