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arXiv · 1501.05106

Topology of strongly polar weighted homogeneous links

Vincent Blanlœil·Mutsuo Oka
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Abstract

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.

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Vincent Blanlœil, Mutsuo Oka. 2015-01-21. Topology of strongly polar weighted homogeneous links. https://arxiv.org/abs/1501.05106

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