Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uhlenbeck compactness and transversality for the moduli space of PU(2)
  monopoles   This research announcement gives a brief report of the main results in our
paper "PU(2) monopoles, I: Regularity, Uhlenbeck compactness, and
transversality" (Journal of Differential Geometry, to appear). We describe the
existence of perturbations for the PU(2) monopole equations, yielding both
useful transversality properties and an Uhlenbeck compactification for this
perturbed moduli space.

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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc