Geodesic
Homological representations of braid groups and KZ connections
Journal of Singularities, Tome 5 (2012), pp. 94-108

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We give a relation between the homological representations of the braid groups studied by Lawrence, Krammer and Bigelow and the monodromy of the KZ equation with values in the space of null vectors in the tensor product of Verma modules of $sl_2({\mathbf C})$ when the parameters are generic. We also discuss the case of special parameters in relation with integral representations of the space of conformal blocks by hypergeometric integrals. 
@article{10_5427_jsing_2012_5g,
     author = {Toshitake Kohno},
     title = {Homological representations of braid groups and {KZ} connections},
     journal = {Journal of Singularities},
     pages = {94--108},
     publisher = {mathdoc},
     volume = {5},
     year = {2012},
     doi = {10.5427/jsing.2012.5g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.5g/}
}
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Toshitake Kohno. Homological representations of braid groups and KZ connections. Journal of Singularities, Tome 5 (2012), pp. 94-108. doi: 10.5427/jsing.2012.5g

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