Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Chow ring of a classifying space   We define the Chow ring of the classifying space of a linear algebraic group.
In all the examples where we can compute it, such as the symmetric groups and
the orthogonal groups, it is isomorphic to a natural quotient of the complex
cobordism ring of the classifying space, a topological invariant. We apply this
to get torsion information on the Chow groups of varieties defined as quotients
by finite groups. This generalizes Atiyah and Hirzebruch's use of such
varieties to give counterexamples to the Hodge conjecture with integer
coefficients.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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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: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas