Shi-Fan Cai, S. Chaubey, Xin Xu, Pan Zhang, Zhi-Heng Zhang
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Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold
The aim of this paper is to prove a theorem for holomorphic twisted quiver bundles over a special non-compact Gauduchon manifold, connecting the existence of (σ,τ)-Hermite–Yang–Mills metric in differential geometry and the analytic (σ,τ)-stability in algebraic geometry. The proof of the theorem relies on the flow method and the Uhlenbeck–Yau’s continuity method.
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