  We use the relation between the quantum su(2) R-matrix and the Burau
representation of the braid group in order to study the structure of the
colored Jones polynomial of links. We show that similarly to the case of a
knot, the colored Jones polynomial of a link can be presented as a formal
series in powers of q-1. The coefficients of this series are rational functions
of q^(color) whose denominators are powers of the Alexander-Conway polynomial.
