Thom–Sebastiani Construction and Monodromy of Polynomials

In this paper, we describe the monodromy representation of a sum $f+g$ of two polynomials $f$ and $g$ in disjoint sets of variables in terms of the monodromy representations of $f$ and $g$. Complete results are obtained under the assumption that the bifurcation set of $g$ is a one-point set.