Incompressible surfaces in handlebodies and closed 3-manifolds

Heegaard Genus; Ruifeng Qiu

doi:10.1090/s0002-9939-00-05360-0

Incompressible surfaces in handlebodies and closed 3-manifolds

Heegaard Genus^*
, Ruifeng Qiu

^*此作品的通讯作者

Jilin University

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

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.

源语言	英语
页（从-至）	3091-3097
页数	7
期刊	Proceedings of the American Mathematical Society
卷	128
期	10
DOI	https://doi.org/10.1090/s0002-9939-00-05360-0
出版状态	已出版 - 2000
已对外发布	是

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AU - Genus, Heegaard

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AB - 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.

KW - Heegaard genus

KW - Incompressible surface

UR - https://www.scopus.com/pages/publications/23044523369

U2 - 10.1090/s0002-9939-00-05360-0

DO - 10.1090/s0002-9939-00-05360-0

M3 - 文章

AN - SCOPUS:23044523369

SN - 0002-9939

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JO - Proceedings of the American Mathematical Society

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Incompressible surfaces in handlebodies and closed 3-manifolds

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