Topology of strongly polar weighted homogeneous links

Abstract

We consider a canonical S1 action on S3 which is defined by (ρ,(z1,z2))↦(z1ρp,z2ρq) for ρ∈S1 and (z1,z2)∈S3⊂ℂ2. We consider a link consisting of finite orbits of this action, where some of the orbits are reversely oriented. Such a link appears as a link of a certain type of mixed polynomials. We study the space of such links and show smooth degeneration relations.