Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Godbillon-Vey invariant in equivariant $KK$-theory   We construct a groupoid equivariant Kasparov class for transversely oriented
foliations in all codimensions. In codimension 1 we show that the Chern
character of an associated semifinite spectral triple recovers the
Connes-Moscovici cyclic cocycle for the Godbillon-Vey secondary characteristic
class.

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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th