I am looking for a specific reference to the connection between [1] the Deligne-Mostow monodromy and [2] Gassner representation at roots of unity of the pure braid group. I have seen many references but no specific place where this is established. 


Any help will be most appreciated.


Aakumadula



Connection between Deligne-Mostow monodromy and Gassner representation at roots of unity of the pure braid group
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](https://doi.org/10.4153/CMB-2001-006-3), arXiv:[math/0002222](https://arxiv.org/abs/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]).


