%0 Journal Article %T A contribution of a U(1)-reducible connection to quantum invariants of links I: R-matrix and Burau representation %A L. Rozansky %J Mathematics %D 1998 %I arXiv %X 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. %U http://arxiv.org/abs/math/9806004v3