Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elementary proof of symmetry of the off-diagonal Seeley-DeWitt (and
  related Hadamard) coefficients   We will prove in an elementary way that off-diagonal Seeley-DeWitt and
Hadamard coefficients are (sesqui-)symmetric for smooth manifolds of arbitrary
signature.

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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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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: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex