A note on the planar surface sum of Heegaard splittings

Qilong Guo; Yanqing Zou

doi:10.1016/j.topol.2016.01.025

A note on the planar surface sum of Heegaard splittings

Qilong Guo^*
, Yanqing Zou

^*Corresponding author for this work

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

Abstract

In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized Heegaard splittings is unstabilized; (2) the self planar surface sum of an unstabilized Heegaard splitting is unstabilized.

Original language	English
Pages (from-to)	8-14
Number of pages	7
Journal	Topology and its Applications
Volume	204
DOIs	https://doi.org/10.1016/j.topol.2016.01.025
State	Published - 15 May 2016
Externally published	Yes

Keywords

Heegaard distance
Stabilization
Surface sum

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10.1016/j.topol.2016.01.025

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title = "A note on the planar surface sum of Heegaard splittings",

abstract = "In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized Heegaard splittings is unstabilized; (2) the self planar surface sum of an unstabilized Heegaard splitting is unstabilized.",

keywords = "Heegaard distance, Stabilization, Surface sum",

author = "Qilong Guo and Yanqing Zou",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = may,

day = "15",

doi = "10.1016/j.topol.2016.01.025",

language = "英语",

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TY - JOUR

T1 - A note on the planar surface sum of Heegaard splittings

AU - Guo, Qilong

AU - Zou, Yanqing

PY - 2016/5/15

Y1 - 2016/5/15

N2 - In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized Heegaard splittings is unstabilized; (2) the self planar surface sum of an unstabilized Heegaard splitting is unstabilized.

AB - In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized Heegaard splittings is unstabilized; (2) the self planar surface sum of an unstabilized Heegaard splitting is unstabilized.

KW - Heegaard distance

KW - Stabilization

KW - Surface sum

UR - https://www.scopus.com/pages/publications/84959174492

U2 - 10.1016/j.topol.2016.01.025

DO - 10.1016/j.topol.2016.01.025

M3 - 文章

AN - SCOPUS:84959174492

SN - 0166-8641

VL - 204

SP - 8

EP - 14

JO - Topology and its Applications

JF - Topology and its Applications

ER -

A note on the planar surface sum of Heegaard splittings

Abstract

Keywords

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