Topological invariance conjecture for quasihomogeneous singularities

Let $\mathbf{QH}_n$ be the family of all quasihomogeneous polynomials in $\mathbb C[\bm x]$ with a unique singularity at $\bm 0$. For $f\in\mathbf{QH}_n$ with weight type $\bm w$ and weighted degree $d=\deg_{\bm w}f$, let $Z_{f,\bm 0}^{\mathrm{top}}(s)$ denote the topological zeta function of $f$ at the origin.

Topological invariance conjecture. The function $Z_{f,\bm 0}^{\mathrm{top}}(s)$ depends only on $(\bm w,d)$, and is a topological invariant of the family $\mathbf{QH}_n$.

The conjecture proposes that the topological zeta function is determined by the weight data and weighted degree, extending the dimension-two phenomenon discussed in the source. The supplied context gives no resolution status.