Paper detail

Topology of strongly polar weighted homogeneous links

We consider a canonical $S^1$ action on $S^3$ which is defined by $(ρ,(z_1,z_2))\mapsto (z_1ρ^p,z_2ρ^q)$ for $ρ\in S^1$ and $(z_1,z_2)\in S^3\subset {\mathbb C}^2$. We consider a link consisting of finite orbits of this action, which 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.