Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions to Donaldson's hyperk\"ahler reduction on a curve   We study an infinite-dimensional hyperk\"ahler 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 hyperk\"ahler moduli
space.

26
The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
19
The categories of this paper are: eess