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On fibered links of singularities of polar weighted homogeneous mixed polynomials. (English) Zbl 1360.32027
Blanlœil, Vincent (ed.) et al., Singularities in geometry and topology 2011. Proceedings of the 6th Franco-Japanese symposium on singularities, Fukuoka, Japan, September 5–10, 2011. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-026-6/hbk). Advanced Studies in Pure Mathematics 66, 81-92 (2015).
Summary: Let \(f({\mathbf z},\overline{{\mathbf z}})\) be a polar weighted homogeneous mixed polynomial. If \(f(z,{\mathbf z})\) has an isolated singularity at the origin \({\mathbf o}\), then \(f({\mathbf z},\overline{{\mathbf z}})\) 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.
For the entire collection see [Zbl 1320.14001].

32S55 Milnor fibration; relations with knot theory
14J17 Singularities of surfaces or higher-dimensional varieties
14P25 Topology of real algebraic varieties
57M25 Knots and links in the \(3\)-sphere (MSC2010)