Incompressible surfaces in handlebodies and closed 3-manifolds of Heegaard genus 2

被引：14

作者：

Qiu, RF ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130023, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 10期

关键词：

Heegaard genus; incompressible surface;

D O I：

10.1090/S0002-9939-00-05360-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall prove that for any integer n >0, 1) a handlebody of genus 2 contains a separating incompressible surface of genus n, 2) there exists a closed 3-manifold of Heegaard genus 2 which contains a separating incompressible surface of genus n.

引用

页码：3091 / 3097

页数：7

共 6 条

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