The ∂-stabilization of a Heegaard splitting with distance at least 6 is unstabilized

Yanqing Zou; Qilong Guo; Ruifeng Qiu

doi:10.1007/s11401-014-0847-7

The ∂-stabilization of a Heegaard splitting with distance at least 6 is unstabilized

Yanqing Zou^*
, Qilong Guo
, Ruifeng Qiu

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

Let M be a compact orientable 3-manifold with ∂M connected. If V ∪_S W is a Heegaard splitting of M with distance at least 6, then the ∂-stabilization of V ∪_S W along ∂M is unstabilized. Hence M has at least two unstabilized Heegaard splittings with different genera. The basic tool is a result on disk complex given by Masur and Schleimer.

源语言	英语
页（从-至）	557-562
页数	6
期刊	Chinese Annals of Mathematics. Series B
卷	35
期	4
DOI	https://doi.org/10.1007/s11401-014-0847-7
出版状态	已出版 - 8月 2014

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title = "The ∂-stabilization of a Heegaard splitting with distance at least 6 is unstabilized",

abstract = "Let M be a compact orientable 3-manifold with ∂M connected. If V ∪S W is a Heegaard splitting of M with distance at least 6, then the ∂-stabilization of V ∪S W along ∂M is unstabilized. Hence M has at least two unstabilized Heegaard splittings with different genera. The basic tool is a result on disk complex given by Masur and Schleimer.",

keywords = "Distance, Heegaard splitting, Stabilization",

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T1 - The ∂-stabilization of a Heegaard splitting with distance at least 6 is unstabilized

AU - Zou, Yanqing

AU - Guo, Qilong

AU - Qiu, Ruifeng

PY - 2014/8

Y1 - 2014/8

N2 - Let M be a compact orientable 3-manifold with ∂M connected. If V ∪S W is a Heegaard splitting of M with distance at least 6, then the ∂-stabilization of V ∪S W along ∂M is unstabilized. Hence M has at least two unstabilized Heegaard splittings with different genera. The basic tool is a result on disk complex given by Masur and Schleimer.

AB - Let M be a compact orientable 3-manifold with ∂M connected. If V ∪S W is a Heegaard splitting of M with distance at least 6, then the ∂-stabilization of V ∪S W along ∂M is unstabilized. Hence M has at least two unstabilized Heegaard splittings with different genera. The basic tool is a result on disk complex given by Masur and Schleimer.

KW - Distance

KW - Heegaard splitting

KW - Stabilization

UR - https://www.scopus.com/pages/publications/84903841435

U2 - 10.1007/s11401-014-0847-7

DO - 10.1007/s11401-014-0847-7

M3 - 文章

AN - SCOPUS:84903841435

SN - 0252-9599

VL - 35

SP - 557

EP - 562

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 4

ER -

The ∂-stabilization of a Heegaard splitting with distance at least 6 is unstabilized

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