APPARENT CONTOURS OF STABLE MAPS INTO THE SPHERE

被引：5

作者：

Fukuda, Taishi ^{[1
]}

Yamamoto, Takahiro ^{[1
]}

机构：

[1] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, Fukuoka, Fukuoka 8138503, Japan

来源：

JOURNAL OF SINGULARITIES | 2011年 / 3卷

关键词：

Stable map; cusp; node; minimal contour; genus; mapping degree;

D O I：

10.5427/jsing.2011.3g

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a stable map phi: M -> S-2 of a closed and connected surface into the sphere, let c(phi) and n(phi) denote the numbers of cusps and nodes respectively. In this paper, for each integer i >= 1, in the given homotopy class with i fold curve components, we will determine the minimal number c + n.

引用

页码：113 / 125

页数：13

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