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Topology of strongly polar weighted homogeneous links

2015/01/21 by Vincent Blanlœil, Blanlœil, Vincent, Mutsuo Oka +1
Mathematics · #32S25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:32S25

paper · pdf · doi:10.48550/arxiv.1501.05106

arxiv created 2015/01/21 · arxiv updated 2015/01/22

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⊂ \mathbb C2. 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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