TWISTED VIRTUAL BRAIDS AND TWISTED LINKS

Negi,Komal; Prabhakar, Madeti; Kamada, Seiichi

Osaka Journal of Mathematics, 2024, 61(4), 569-590

アクセス数:223件（2026-02-16 17:03 集計）

固定URL: https://doi.org/10.18910/98469

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
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タイトル	TWISTED VIRTUAL BRAIDS AND TWISTED LINKS
著者	著者名 Negi,Komal
	著者名 Prabhakar, Madeti
	NRID 1000060254380 1000060254380 researchmap permalink kamada.seiichi.math kamada.seiichi.math Scopus Author ID 7006887959 7006887959 著者名 Kamada, Seiichi
抄録	Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted links corresponding to the Alexander theorem and the Markov theorem in knot theory. We also provide a group presentation and a reduced group presentation of the twisted virtual braid group.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	61(4)
ページ	569-590
刊行年月	2024-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/98469
DOI	https://doi.org/10.18910/98469
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 61, Number 4 （2024-10）

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. 2024, 61(4), p. 569-590
DC.title	TWISTED VIRTUAL BRAIDS AND TWISTED LINKS
DC.creator	Negi,Komal
	Prabhakar, Madeti
	Kamada, Seiichi
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	2024-10
DCTERMS.abstract	Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted links corresponding to the Alexander theorem and the Markov theorem in knot theory. We also provide a group presentation and a reduced group presentation of the twisted virtual braid group.
DC.identifier	10.18910/98469
DC.format	98469
citation_title	TWISTED VIRTUAL BRAIDS AND TWISTED LINKS
citation_author	Negi,Komal
	Prabhakar, Madeti
	Kamada, Seiichi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2024-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	61
citation_issue	4
citation_firstpage	569
citation_lastpage	590
citation_public_url	https://hdl.handle.net/11094/98469
citation_doi_detail	10.18910/98469
citation_doi	https://doi.org/10.18910/98469