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arXiv · 1905.10293

The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds

Zhi Hu·Pengfei Huang
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Abstract

In this paper, we establish the Hitchin--Kobayashi correspondence for the $I_\pm$-holomorphic quiver bundle $\mathcal{E}=(E,ϕ)$ over a compact generalized Kähler manifold $(X, I_+,I_-,g, b)$ such that $g$ is Gauduchon with respect to both $I_+$ and $I_-$, namely $\mathcal{E}$ is $(α,σ,τ)$-polystable if and only if $\mathcal{E}$ admits an $(α,σ,τ)$-Hermitian--Einstein metric.

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Zhi Hu, Pengfei Huang. 2019-05-24. The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds. https://doi.org/10.1007/s12220-019-00210-6

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