Weak reducing disks and disk surgery

Jung Hoon Lee

doi:10.1142/S0218216518500694

Weak reducing disks and disk surgery

Jung Hoon Lee^*

^*Corresponding author for this work

Department of Mathematics

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

Abstract

Let K be an unknot in 8-bridge position in the 3-sphere. We give an example of a pair of weak reducing disks D1 and D2 for K such that both disks obtained from Di (i = 1, 2) by a surgery along any outermost disk in D3-i, cut off by an outermost arc of Di D3-i in D3-i, are not weak reducing disks, i.e. the property of weak reducibility of compressing disks is not preserved by a disk surgery.

Original language	English
Article number	1850069
Journal	Journal of Knot Theory and its Ramifications
Volume	27
Issue number	12
DOIs	https://doi.org/10.1142/S0218216518500694
State	Published - 2018.10.1

Keywords

Bridge position
disk surgery
weak reducing disk

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.1142/S0218216518500694

Cite this

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title = "Weak reducing disks and disk surgery",

abstract = "Let K be an unknot in 8-bridge position in the 3-sphere. We give an example of a pair of weak reducing disks D1 and D2 for K such that both disks obtained from Di (i = 1, 2) by a surgery along any outermost disk in D3-i, cut off by an outermost arc of Di D3-i in D3-i, are not weak reducing disks, i.e. the property of weak reducibility of compressing disks is not preserved by a disk surgery.",

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AB - Let K be an unknot in 8-bridge position in the 3-sphere. We give an example of a pair of weak reducing disks D1 and D2 for K such that both disks obtained from Di (i = 1, 2) by a surgery along any outermost disk in D3-i, cut off by an outermost arc of Di D3-i in D3-i, are not weak reducing disks, i.e. the property of weak reducibility of compressing disks is not preserved by a disk surgery.

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KW - disk surgery

KW - weak reducing disk

UR - https://www.scopus.com/pages/publications/85055094153

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ER -

Weak reducing disks and disk surgery

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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