Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dalian notes on rational Pontryagin classes   The rational Pontryagin classes, evaluated on fiber bundles where the fiber
is a 2n-dimensional euclidean space, can be nonzero in cohomology dimensions
much greater than 4n. This makes a striking contrast with the Pontryagin
classes of vector bundles.

4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph