Common stabilizations of Heegaard splittings of knot exteriors

Jung Hoon Lee

doi:10.4134/JKMS.2010.47.1.113

Common stabilizations of Heegaard splittings of knot exteriors

Jung Hoon Lee

Department of Mathematics

Korea Institute for Advanced Study

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

Abstract

In [4], we gave 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. In this paper we prove the corresponding result for tunnel number one knots.

Original language	English
Pages (from-to)	113-122
Number of pages	10
Journal	Journal of the Korean Mathematical Society
Volume	47
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2010.47.1.113
State	Published - 2010

Keywords

Heegaard splitting
Stabilization
Unknotting tunnel

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10.4134/JKMS.2010.47.1.113

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

abstract = "In [4], we gave 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. In this paper we prove the corresponding result for tunnel number one knots.",

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year = "2010",

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language = "English",

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journal = "Journal of the Korean Mathematical Society",

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AU - Lee, Jung Hoon

PY - 2010

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AB - In [4], we gave 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. In this paper we prove the corresponding result for tunnel number one knots.

KW - Heegaard splitting

KW - Stabilization

KW - Unknotting tunnel

UR - https://www.scopus.com/pages/publications/73349125119

U2 - 10.4134/JKMS.2010.47.1.113

DO - 10.4134/JKMS.2010.47.1.113

M3 - Journal article

AN - SCOPUS:73349125119

SN - 0304-9914

VL - 47

SP - 113

EP - 122

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 1

ER -

Common stabilizations of Heegaard splittings of knot exteriors

Abstract

Keywords

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