Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Riemann--Hilbert correspondence for infinity local systems   We describe an $A_\infty$-quasi-equivalence of dg-categories between the
first authors' $\mathcal{P}_{\mathcal{A}}$ ---the category of category of
prefect $A^0$-modules with flat $\Z$-connection, corresponding to the de Rham
dga $\mathcal{A}$ of a compact manifold $M$--- and the dg-category of
\emph{infinity-local systems} on $M$ ---homotopy coherent representations of
the smooth singular simplicial set of $M$, $\Pinf$. We understand this as a
generalization of the Riemann--Hilbert correspondence to $\Z$-connections
($\Z$-graded superconnections in some circles). In one formulation an
infinity-local system is simplicial map between the simplicial sets
${\pi}_{\infty}M$ and a repackaging of the dg-category of cochain complexes by
virtue of the simplicial nerve and Dold-Kan. This theory makes crucial use of
Igusa's notion of higher holonomy transport for $\Z$-connections which is a
derivative of Chen's main idea of generalized holonomy.

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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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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: q-alg
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The categories of this paper are: plasm-ph