SH(3)-MOVE AND OTHER LOCAL MOVES ON KNOTS

Kanenobu, Taizo

Osaka Journal of Mathematics, 2014, 51(2), 439-457

アクセス数:253件（2025-07-16 07:20 集計）

固定URL: https://doi.org/10.18910/29197

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タイトル	SH(3)-MOVE AND OTHER LOCAL MOVES ON KNOTS
著者	NRID 1000000152819 1000000152819 著者名 Kanenobu, Taizo
抄録	An SH(3)-move is an unknotting operation on oriented knots introduced by Hoste, Nakanishi and Taniyama. We consider some relationships to other local moves such as a band surgery, Γ_0-move, and Δ-move, and give some criteria for estimating the SH(3)-unknotting number using the Jones, HOMFLYPT, Q polynomials. We also show a table of SH(3)-unknotting numbers for knots with up to 9 crossings.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(2)
ページ	439-457
刊行年月	2014-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29197
DOI	https://doi.org/10.18910/29197
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 51, Number 2　(2014-4）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2014, 51(2), p. 439-457
DC.title	SH(3)-MOVE AND OTHER LOCAL MOVES ON KNOTS
DC.creator	Kanenobu, Taizo
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2014-04
DCTERMS.abstract	An SH(3)-move is an unknotting operation on oriented knots introduced by Hoste, Nakanishi and Taniyama. We consider some relationships to other local moves such as a band surgery, Γ_0-move, and Δ-move, and give some criteria for estimating the SH(3)-unknotting number using the Jones, HOMFLYPT, Q polynomials. We also show a table of SH(3)-unknotting numbers for knots with up to 9 crossings.
DC.identifier	10.18910/29197
DC.format	29197
citation_title	SH(3)-MOVE AND OTHER LOCAL MOVES ON KNOTS
citation_author	Kanenobu, Taizo
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	2
citation_firstpage	439
citation_lastpage	457
citation_public_url	https://hdl.handle.net/11094/29197
citation_doi_detail	10.18910/29197
citation_doi	https://doi.org/10.18910/29197