Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Noncommutative Spheres   We introduce a family of noncommutative 4-spheres, such that the instanton
projector has its first Chern class trivial: $ch_1(e) = B \chi + b \xi$. We
construct for them a 4-dimensional cycle and calculate explicitly the
Chern-Connes paring for the instanton projector.

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The categories of this paper are: atom-ph
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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: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics