We study an infinite-dimensional hyperkähler reduction introduced by Donaldson and associated with the constant scalar curvature equation on a Riemann surface. It is known that the corresponding moment map equations admit special solutions constructed from holomorphic quadratic differentials. Here we obtain a more general existence result and so a larger hyperkähler moduli space.
Solutions to Donaldson's hyperkaehler reduction on a curve / Scarpa, C.; Stoppa, J.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 31:3(2021), pp. 2871-2889. [10.1007/s12220-020-00377-3]
Solutions to Donaldson's hyperkaehler reduction on a curve
Scarpa, C.;Stoppa, J.
2021-01-01
Abstract
We study an infinite-dimensional hyperkähler reduction introduced by Donaldson and associated with the constant scalar curvature equation on a Riemann surface. It is known that the corresponding moment map equations admit special solutions constructed from holomorphic quadratic differentials. Here we obtain a more general existence result and so a larger hyperkähler moduli space.File in questo prodotto:
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ScarpaStoppaJGEA.pdf
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