Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular connection and Riemann theta function   We prove the Chern-Weil formula for SU(n+1)-singular connections over the
complement of an embedded oriented surface in smooth four manifolds. The
expression of the representation of a number as a sum of nonvanishing squares
is given in terms of the representations of a number as a sum of squares. Using
the number theory result, we study the irreducible SU(n+1)-representations of
the fundamental group of the complement of an embedded oriented surface in
smooth four manifolds.

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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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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: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph