Topological classification of simple Morse Bott functions on surfaces

被引：23

作者：

Martinez-Alfaro, J. ^{[1
]}

Meza-Sarmiento, I. S. ^{[2
]}

Oliveira, R. ^{[2
]}

机构：

[1] Univ Valencia, Dept Matemat Aplicada, Burjassot, Spain

[2] Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13566590 Sao Carlos, SP, Brazil

来源：

REAL AND COMPLEX SINGULARITIES | 2016年 / 675卷

关键词：

Topological invariant; Morse Bott functions; Reeb graph;

D O I：

10.1090/conm/675/13590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a global topological classification of Morse Bott functions on orientable closed surfaces. The invariant is based on the Reeb graph of the function and the topological type of the singular level sets. Connection with other known invariants it is shown. We also prove a realization Theorem of. the Morse Bott functions.

引用

页码：165 / 179

页数：15

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