Common stabilizations of Heegaard splittings of link exteriors

Jung Hoon Lee; Gyo Taek Jin

doi:10.1016/j.topol.2004.11.005

Common stabilizations of Heegaard splittings of link exteriors

Jung Hoon Lee
, Gyo Taek Jin^*

^*Corresponding author for this work

Department of Mathematics

Korea Advanced Institute of Science and Technology

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

We give a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement and show that every 2-bridge link has such a pair of unknotting tunnels.

Original language	English
Pages (from-to)	101-110
Number of pages	10
Journal	Topology and its Applications
Volume	150
Issue number	1-3
DOIs	https://doi.org/10.1016/j.topol.2004.11.005
State	Published - 2005.05.14

Keywords

Heegaard splitting
Link exterior
Stabilization
Tunnel number

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10.1016/j.topol.2004.11.005

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@article{a79329d7afd343498852fe73e5e55c80,

title = "Common stabilizations of Heegaard splittings of link exteriors",

abstract = "We give a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement and show that every 2-bridge link has such a pair of unknotting tunnels.",

keywords = "Heegaard splitting, Link exterior, Stabilization, Tunnel number",

author = "Lee, \{Jung Hoon\} and Jin, \{Gyo Taek\}",

year = "2005",

month = may,

day = "14",

doi = "10.1016/j.topol.2004.11.005",

language = "English",

volume = "150",

pages = "101--110",

journal = "Topology and its Applications",

issn = "0166-8641",

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TY - JOUR

T1 - Common stabilizations of Heegaard splittings of link exteriors

AU - Lee, Jung Hoon

AU - Jin, Gyo Taek

PY - 2005/5/14

Y1 - 2005/5/14

N2 - We give a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement and show that every 2-bridge link has such a pair of unknotting tunnels.

AB - We give a condition for a pair of unknotting tunnels of a non-trivial tunnel number one link to give a genus three Heegaard splitting of the link complement and show that every 2-bridge link has such a pair of unknotting tunnels.

KW - Heegaard splitting

KW - Link exterior

KW - Stabilization

KW - Tunnel number

UR - https://www.scopus.com/pages/publications/17444377891

U2 - 10.1016/j.topol.2004.11.005

DO - 10.1016/j.topol.2004.11.005

M3 - Journal article

AN - SCOPUS:17444377891

SN - 0166-8641

VL - 150

SP - 101

EP - 110

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1-3

ER -

Common stabilizations of Heegaard splittings of link exteriors

Abstract

Keywords

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