Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monopoles over 4-manifolds containing long necks, II   We establish a gluing theorem for monopoles over 4--manifolds containing long
necks. The theorem is stated in terms of an ungluing map defined explicitly in
terms of data that appear naturally in applications. Orientations of moduli
spaces are handled using Benevieri--Furi's concept of orientations of Fredholm
operators of index 0.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cs