Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flat connections on configuration spaces and formality of braid groups
  of surfaces   We construct an explicit bundle with flat connection on the configuration
space of n points of a complex curve. This enables one to recover the
`formality' isomorphism between the Lie algebra of the prounipotent completion
of the pure braid group of n points on a surface and an explicitly presented
Lie algebra t_{g,n} (Bezrukavnikov), and to extend it to a morphism from the
full braid group of the surface to the semidirect product exp(hat t_{g,n})
rtimes S_n.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org