  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.
