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Title:
The Hitchin-cscK system
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Abstract:
A classic result in the study of Kähler metrics with special curvature properties is that the cscK equation can be realized as the moment map equation for an infinite-dimensional Kähler reduction. Building on a result by Biquard and Gauduchon we present a natural hyperkähler extension of this moment map picture, obtaining a new system of equations reminiscent of Hitchin's equations for Higgs bundles. This generalizes a previous result on complex curves by Donaldson to complex manifolds of arbitrary dimension.
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