The self-amalgamation of high distance Heegaard splittings is always efficient

Kun Du; Ruifeng Qiu

doi:10.1016/j.topol.2010.01.013

The self-amalgamation of high distance Heegaard splittings is always efficient

Kun Du^*, Ruifeng Qiu

^*Corresponding author for this work

School of Mathematical Sciences

Dalian University of Technology

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

17 Scopus citations

Abstract

Let M be a compact orientable irreducible 3-manifold, F be an essential non-separating closed surface in M. We denote by η (F) the open regular neighborhood of F. If M - η (F) has a high distance Heegaard splitting, then M has a unique minimal Heegaard splitting up to isotopy.

Original language	English
Pages (from-to)	1136-1141
Number of pages	6
Journal	Topology and its Applications
Volume	157
Issue number	7
DOIs	https://doi.org/10.1016/j.topol.2010.01.013
State	Published - 1 May 2010

Keywords

Distance
Stabilization
Strongly irreducible

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10.1016/j.topol.2010.01.013

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title = "The self-amalgamation of high distance Heegaard splittings is always efficient",

abstract = "Let M be a compact orientable irreducible 3-manifold, F be an essential non-separating closed surface in M. We denote by η (F) the open regular neighborhood of F. If M - η (F) has a high distance Heegaard splitting, then M has a unique minimal Heegaard splitting up to isotopy.",

keywords = "Distance, Stabilization, Strongly irreducible",

author = "Kun Du and Ruifeng Qiu",

year = "2010",

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day = "1",

doi = "10.1016/j.topol.2010.01.013",

language = "英语",

volume = "157",

pages = "1136--1141",

journal = "Topology and its Applications",

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TY - JOUR

T1 - The self-amalgamation of high distance Heegaard splittings is always efficient

AU - Du, Kun

AU - Qiu, Ruifeng

PY - 2010/5/1

Y1 - 2010/5/1

N2 - Let M be a compact orientable irreducible 3-manifold, F be an essential non-separating closed surface in M. We denote by η (F) the open regular neighborhood of F. If M - η (F) has a high distance Heegaard splitting, then M has a unique minimal Heegaard splitting up to isotopy.

AB - Let M be a compact orientable irreducible 3-manifold, F be an essential non-separating closed surface in M. We denote by η (F) the open regular neighborhood of F. If M - η (F) has a high distance Heegaard splitting, then M has a unique minimal Heegaard splitting up to isotopy.

KW - Distance

KW - Stabilization

KW - Strongly irreducible

UR - https://www.scopus.com/pages/publications/77949491957

U2 - 10.1016/j.topol.2010.01.013

DO - 10.1016/j.topol.2010.01.013

M3 - 文章

AN - SCOPUS:77949491957

SN - 0166-8641

VL - 157

SP - 1136

EP - 1141

JO - Topology and its Applications

JF - Topology and its Applications

IS - 7

ER -

The self-amalgamation of high distance Heegaard splittings is always efficient

Abstract

Keywords

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