UNKNOTTING THE SPUN T^2-KNOT OF A CLASSICAL TORUS KNOT

Nakamura, Inasa

Osaka Journal of Mathematics, 2012, 49(4), 875-899

アクセス数:144件（2025-05-13 15:09 集計）

固定URL: https://doi.org/10.18910/23425

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タイトル	UNKNOTTING THE SPUN T^2-KNOT OF A CLASSICAL TORUS KNOT
著者	NRID 1000060568161 1000060568161 著者名 Nakamura, Inasa
抄録	We show that for the closure of a classical braid which satisfies certain conditions, the spun T^2-knot of the classical knot has the unknotting number one. This gives an alternative proof of the fact that the spun T^2-knot of a classical torus knot has the unknotting number one.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(4)
ページ	875-899
刊行年月	2012-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23425
DOI	https://doi.org/10.18910/23425
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 49, Number 4　(2012-12）

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. 2012, 49(4), p. 875-899
DC.title	UNKNOTTING THE SPUN T^2-KNOT OF A CLASSICAL TORUS KNOT
DC.creator	Nakamura, Inasa
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	2012-12
DCTERMS.abstract	We show that for the closure of a classical braid which satisfies certain conditions, the spun T^2-knot of the classical knot has the unknotting number one. This gives an alternative proof of the fact that the spun T^2-knot of a classical torus knot has the unknotting number one.
DC.identifier	10.18910/23425
DC.format	23425
citation_title	UNKNOTTING THE SPUN T^2-KNOT OF A CLASSICAL TORUS KNOT
citation_author	Nakamura, Inasa
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	875
citation_lastpage	899
citation_public_url	https://hdl.handle.net/11094/23425
citation_doi_detail	10.18910/23425
citation_doi	https://doi.org/10.18910/23425