  A very popular problem on braid groups has recently been solved by Bigelow
and Krammer, namely, they have found a faithful linear representation for the
braid group B_n. In their papers, Bigelow and Krammer suggested that their
representation is the monodromy representation of a certain fibration. Our goal
in this paper is to understand this monodromy representation using standard
tools from the theory of hyperplane arrangements. In particular, we prove that
the representation of Bigelow and Krammer is a sub-representation of the
monodromy representation which we consider, but that it cannot be the whole
representation.
