Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examples of non-algebraic classes in the Brown-Peterson tower   For every $n\ge 0$, we construct classes in the Brown-Peterson cohomology
$BP\langle n \rangle$ of smooth projective complex algebraic varieties which
are not in the image of the cycle map from the corresponding motivic
Brown-Peterson cohomology. This generalizes the examples of Atiyah and
Hirzebruch to all finite levels in the Brown-Peterson tower.

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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: eess