Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation theory of periodic monopoles (with singularities)   We show that for generic choices of parameters the moduli spaces of periodic
monopoles (with singularities), i.e. monopoles on $\mathbb{R}^{2} \times
\mathbb{S}^{1}$ possibly singular at a finite collection of points, are either
empty or smooth hyperk\"ahler manifolds. Furthermore, we prove an index theorem
and therefore compute the dimension of the moduli spaces.

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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th