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arxiv: 1206.6676 · v1 · pith:3JUVQOQYnew · submitted 2012-06-28 · 🧮 math.DG

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

classification 🧮 math.DG
keywords higgsapproximatebundleexistencehermitian-einsteinahlerbundlescompact
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In this paper, using Donaldson's heat flow, we show that the semi-stability of a Higgs bundle over a compact K\"ahler manifold implies the existence of approximate Hermitian-Einstein structure on the Higgs bundle.

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