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arxiv: 1503.04128 · v3 · pith:IHZK773Gnew · submitted 2015-03-13 · 🧮 math.DG

M\'etriques hyperk\"ahl\'eriennes pli\'ees

classification 🧮 math.DG
keywords hitchinhyperkinftymetricsahlerbundlescomponentconstruction
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N. Hitchin recently introduced the notion of folded hyperK\"ahler metrics, in relation with SL(\infty,R) Higgs bundles. We provide a construction of such metrics, and prove the local existence of the Hitchin component for SL(\infty,R).

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