The half-twisted splice operation on reduced knot projections

Noboru Ito; Ayaka Shimizu

doi:10.1142/S021821651250112X

The half-twisted splice operation on reduced knot projections

Noboru Ito^*, Ayaka Shimizu

^*この研究の対応する著者

高等研究所

研究成果: Article › 査読

12 被引用数 (Scopus)

抄録

We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

本文言語	English
論文番号	1250112
ジャーナル	Journal of Knot Theory and its Ramifications
巻	21
号	11
DOI	https://doi.org/10.1142/S021821651250112X
出版ステータス	Published - 2012 10月

ASJC Scopus subject areas

代数と数論

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10.1142/S021821651250112X

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title = "The half-twisted splice operation on reduced knot projections",

abstract = "We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.",

keywords = "Half-twisted splice, knot projection, local move, reduced knot projection",

author = "Noboru Ito and Ayaka Shimizu",

year = "2012",

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T1 - The half-twisted splice operation on reduced knot projections

AU - Ito, Noboru

AU - Shimizu, Ayaka

PY - 2012/10

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N2 - We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

AB - We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

KW - Half-twisted splice

KW - knot projection

KW - local move

KW - reduced knot projection

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DO - 10.1142/S021821651250112X

M3 - Article

AN - SCOPUS:84865733421

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 11

M1 - 1250112

ER -

The half-twisted splice operation on reduced knot projections

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