On fibered links of singularities of polar weighted homogeneous mixed polynomials

Abstract

Let $f(\mathbf{z},\bar{\mathbf{z}})$ be a polar weighted homogeneous mixed polynomial. If $f(\mathbf{z}, \bar{\mathbf{z}})$ has an isolated singularity at the origin $\mathbf{o}$, then $f(\mathbf{z}, \bar{\mathbf{z}})$ gives a fibered link in a sphere centered at $\mathbf{o}$. In this paper, we study fibered links which are determined by polar weighted homogeneous mixed polynomials and show the existence of mixed polynomials whose Milnor fibers cannot be obtained from a disk by plumbings of Hopf bands.