Cobordism group of Morse functions on surfaces

被引：19

作者：

Ikegami, K ^{[1
]}

Saeki, O

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

[2] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2003年 / 55卷 / 04期

关键词：

Morse function; cobordism; fold singularity; Reeb graph; Stein factorization;

D O I：

10.2969/jmsj/1191418765

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the cobordism group of Morse functions on manifolds and show that it is an infinite cyclic group for dimension two in the oriented case. We also give an explicit Morse function which gives a generator of the group.

引用

页码：1081 / 1094

页数：14

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