Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds   In this paper we describe the fixed locus of a symplectic involution on a
hyperk\"ahler manifold of type $K3^{[n]}$ or of Kummer $n$ type. We prove that
the fixed locus consists of finitely many copies of Hilbert schemes of $K3$
surfaces of lower dimensions and isolated fixed points.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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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: econ
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th