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- W4289304789 abstract "We discuss a natural extension of the Kahler reduction of Fujiki and Donaldson, which realises the scalar curvature of Kahler metrics as a moment map, to a hyperkahler reduction. Our approach is based on an explicit construction of hyperkahler metrics due to Biquard and Gauduchon. This extension is reminiscent of how one derives Hitchin's equations for harmonic bundles, and yields real and complex moment map equations which deform the constant scalar curvature Kahler (cscK) condition. In the special case of complex curves we recover previous results of Donaldson. We focus on the case of complex surfaces. In particular we show the existence of solutions to the moment map equations on a class of ruled surfaces which do not admit cscK metrics." @default.
- W4289304789 created "2022-08-02" @default.
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- W4289304789 date "2018-11-05" @default.
- W4289304789 modified "2023-09-24" @default.
- W4289304789 title "Scalar curvature and an infinite-dimensional hyperkahler reduction" @default.
- W4289304789 doi "https://doi.org/10.48550/arxiv.1811.01694" @default.
- W4289304789 hasPublicationYear "2018" @default.
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