ODD WRITHES AND 2k-MOVES FOR VIRTUAL KNOTS

Wada, Kodai

Osaka Journal of Mathematics, 2025, 62(2), 199-210

アクセス数:63件（2026-02-15 23:45 集計）

固定URL: https://doi.org/10.18910/101125

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タイトル	ODD WRITHES AND 2k-MOVES FOR VIRTUAL KNOTS
著者	NRID 1000030836698 1000030836698 著者名 Wada, Kodai
抄録	A 2k-move is a local deformation on a knot diagram adding or removing 2k half-twists, where k is a positive integer. We show that if two virtual knots are related by a finite sequence of 2k-moves, then their odd writhes are congruent modulo 2k. Moreover, we provide a necessary and sufficient condition for two virtual knots to have the same congruence class of odd writhes modulo 2k.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(2)
ページ	199-210
刊行年月	2025-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/101125
DOI	https://doi.org/10.18910/101125
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 62, Number 2 （2025-04）

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. 2025, 62(2), p. 199-210
DC.title	ODD WRITHES AND 2k-MOVES FOR VIRTUAL KNOTS
DC.creator	Wada, Kodai
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-04
DCTERMS.abstract	A 2k-move is a local deformation on a knot diagram adding or removing 2k half-twists, where k is a positive integer. We show that if two virtual knots are related by a finite sequence of 2k-moves, then their odd writhes are congruent modulo 2k. Moreover, we provide a necessary and sufficient condition for two virtual knots to have the same congruence class of odd writhes modulo 2k.
DC.identifier	10.18910/101125
DC.format	101125
citation_title	ODD WRITHES AND 2k-MOVES FOR VIRTUAL KNOTS
citation_author	Wada, Kodai
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	2
citation_firstpage	199
citation_lastpage	210
citation_public_url	https://hdl.handle.net/11094/101125
citation_doi_detail	10.18910/101125
citation_doi	https://doi.org/10.18910/101125