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

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このアイテムへのリンクには次のURLをご利用ください:https://doi.org/10.18910/29197

このアイテムへのリンクには次のURLをご利用ください:http://hdl.handle.net/11094/29197

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タイトル	SH(3)-MOVE AND OTHER LOCAL MOVES ON KNOTS
著者	Kanenobu, Taizo 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	51
号	2
開始ページ	439
終了ページ	457
刊行年月	2014-04
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/29197
言語	英語
DOI	info:doi/10.18910/29197
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）

著者版フラグ	publisher
NII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.51(2) P.439-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2014-04
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/29197
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	info:doi/10.18910/29197
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/29197
citation_doi	info:doi/10.18910/29197