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

JiaYu Li; Xi Zhang

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arXiv · 1206.6676

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

JiaYu Li·Xi Zhang

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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.

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JiaYu Li, Xi Zhang. 2012-06-28. Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles. https://arxiv.org/abs/1206.6676

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