稳定映射和双曲链路

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2024-07-24 DOI:10.4310/cag.2023.v31.n6.a3

Furutani,Ryoga, Koda,Yuya

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引用次数: 0

摘要

如果一个封闭可定向 3 维流形的稳定映射包含在定折点集合中，那么将该流形中的一个链路映射到实平面的映射称为该链路的稳定映射。我们给出了 3 美元球面中双曲链路的完整特征，这些链路允许稳定映射进入实平面，其中恰好有一条（连通分量）纤维有两个奇异点。

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Stable maps and hyperbolic links

A stable map of a closed orientable 3-manifold into the real plane is called a stable map of a link in the manifold if the link is contained in the set of definite fold points. We give a complete characterization of the hyperbolic links in the $3$-sphere that admit stable maps into the real plane with exactly one (connected component of a) fiber having two singular points.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.