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

^*Corresponding author for this work

Jilin University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3091-3097
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	10
DOIs	https://doi.org/10.1090/s0002-9939-00-05360-0
State	Published - 2000
Externally published	Yes

Keywords

Heegaard genus
Incompressible surface

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10.1090/s0002-9939-00-05360-0

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title = "Incompressible surfaces in handlebodies and closed 3-manifolds",

abstract = "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.",

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author = "Heegaard Genus and Ruifeng Qiu",

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AU - Genus, Heegaard

AU - Qiu, Ruifeng

PY - 2000

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N2 - 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.

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

VL - 128

SP - 3091

EP - 3097

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Incompressible surfaces in handlebodies and closed 3-manifolds

Abstract

Keywords

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