Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lefschetz distribution of Lie foliations   Let $\mathcal F$ be a Lie foliation on a closed manifold $M$ with structural
Lie group $G$. Its transverse Lie structure can be considered as a transverse
action $\Phi$ of $G$ on $(M,\mathcal F)$; i.e., an ``action'' which is defined
up to leafwise homotopies. This $\Phi$ induces an action $\Phi^*$ of $G$ on the
reduced leafwise cohomology $\bar H(\mathcal F)$. By using leafwise Hodge
theory, the supertrace of $\Phi^*$ can be defined as a distribution
$L_{dis}(\mathcal F)$ on $G$ called the Lefschetz distribution of $\mathcal F$.
A distributional version of the Gauss-Bonett theorem is proved, which describes
$L_{dis}(\mathcal F)$ around the identity element. On any small enough open
subset of $G$, $L_{dis}(\mathcal F)$ is described by a distributional version
of the Lefschetz trace formula.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys