Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ADHM Variety and Perverse Coherent Sheaves   We study the full set of solutions to the ADHM equation as an affine
algebraic set, the ADHM variety. We gather the points of the ADHM variety into
subvarieties according to the dimension of the stabilizing subspace. We compute
dimension, and analyze singularity and reducibility of all of these varieties.
We also connect representations of the ADHM quiver to coherent perverse sheaves
on $\mathbb{P}^2$ in the sense of Kashiwara.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: physics