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arXiv · 2109.01776

Poisson metrics and Higgs bundles over noncompact Kähler manifolds

Di Wu·Xi Zhang
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Abstract

In this paper, we study the existence of Poisson metrics on flat vector bundles over noncompact Riemannian manifolds and discuss related consequence, specially on the applications in Higgs bundles, towards generalizing Corlette-Donaldson-Hitchin-Simpson's nonabelian Hodge correspondence to noncompact Kähler manifolds setting.

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Di Wu, Xi Zhang. 2021-09-04. Poisson metrics and Higgs bundles over noncompact Kähler manifolds. https://arxiv.org/abs/2109.01776

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