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Published in:
2012 | OriginalPaper | Chapter
Quantum and homological representations of braid groups
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By means of a description of the solutions of the KZ equation using hypergeometric integrals we show that the homological representations of the braid groups studied by Lawrence, Krammer and Bigelow are equivalent at generic complex values to the monodromy of the KZ equation with values in the space of null vectors in the tensor product of Verma modules of sl
2
(
C
).