Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The vanishing of the contact invariant in the presence of torsion   We prove that the Ozsvath-Szabo contact invariant of a closed contact
3-manifold with positive Giroux torsion vanishes.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-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: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio