  Let g be a complex semisimple Lie algebra, G the simply-connected Poisson-Lie
group corresponding to g, and G* its dual. G-valued Stokes phenomena were used
by Boalch [Bo1,Bo2] to give a canonical, analytic linearisation of the Poisson
structure on G*. Ug-valued Stokes phenomena were used by the first author to
construct a twist killing the KZ associator, and therefore give a
transcendental construction of the Drinfeld-Jimbo quantum group U_hg
(arXiv:1601.04076). In the present paper, we show that the former construction
can be obtained as semiclassical limit of the latter. Along the way, we also
show that the R-matrix of U_hg is a Stokes matrix for the dynamical KZ
equations.
