Some results on Heegaard splitting

Ruifeng Qiu; Yanqing Zou

doi:10.1007/s10473-022-0612-z

Some results on Heegaard splitting

Ruifeng Qiu^*
, Yanqing Zou

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

Original language	English
Pages (from-to)	2437-2449
Number of pages	13
Journal	Acta Mathematica Scientia
Volume	42
Issue number	6
DOIs	https://doi.org/10.1007/s10473-022-0612-z
State	Published - Nov 2022

Keywords

57M50
Heegaard distance
Heegaard genus
stabilization

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10.1007/s10473-022-0612-z

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title = "Some results on Heegaard splitting",

abstract = "A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.",

keywords = "57M50, Heegaard distance, Heegaard genus, stabilization",

author = "Ruifeng Qiu and Yanqing Zou",

note = "Publisher Copyright: {\textcopyright} 2022, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences.",

year = "2022",

month = nov,

doi = "10.1007/s10473-022-0612-z",

language = "英语",

volume = "42",

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journal = "Acta Mathematica Scientia",

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TY - JOUR

T1 - Some results on Heegaard splitting

AU - Qiu, Ruifeng

AU - Zou, Yanqing

PY - 2022/11

Y1 - 2022/11

N2 - A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

AB - A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

KW - 57M50

KW - Heegaard distance

KW - Heegaard genus

KW - stabilization

UR - https://www.scopus.com/pages/publications/85137228507

U2 - 10.1007/s10473-022-0612-z

DO - 10.1007/s10473-022-0612-z

M3 - 文章

AN - SCOPUS:85137228507

SN - 0252-9602

VL - 42

SP - 2437

EP - 2449

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 6

ER -

Some results on Heegaard splitting

Abstract

Keywords

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