  In this paper we will present a homological model for Coloured Jones
Polynomials. For each colour $N \in \mathbb {N}$, we will describe the
invariant $J_N(L,q)$ as a graded intersection pairing of certain homology
classes in a covering of the configuration space on the punctured disk. This
construction is based on the Lawrence representation and a result due to Kohno
that relates quantum representations and homological representations of the
braid groups.
