See
- Michael Kapovich, John J. Millson, Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation, Canadian Mathematical Bulletin, 44(1) (2001) 36-60, doi:10.4153/CMB-2001-006-3, arXiv:math/0002222
for the explicit relation between representations constructed via hypergeometric integrals and Gassner. We also explain the connection to [DM]. The representations we construct in the paper are mildly different from the ones in [DM], but you just have to replace our parameters $\epsilon_j=\pm 1$ with $\sqrt{-1}$ (to get [DM]).
