TWISTED VIRTUAL BRAIDS AND TWISTED LINKS

Negi,Komal; Prabhakar, Madeti; Kamada, Seiichi

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

Number of Access:38（2025-05-05 13:50 Counts）

Identifier to cite or link to this item: https://doi.org/10.18910/98469

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Title	TWISTED VIRTUAL BRAIDS AND TWISTED LINKS
Creator	CreatorName Negi,Komal
	CreatorName Prabhakar, Madeti
	NRID 1000060254380 1000060254380 researchmap permalink kamada.seiichi.math kamada.seiichi.math Scopus Author ID 7006887959 7006887959 CreatorName Kamada, Seiichi
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.
Publisher	Osaka University and Osaka City University, Departments of Mathematics
Source Title	Osaka Journal of Mathematics
Volume (Issue)	61(4)
Page	569-590
Date of Issued	2024-10
Language	English
Handle URL	https://hdl.handle.net/11094/98469
DOI	https://doi.org/10.18910/98469
PISSN	00306126
NCID	AA00765910
Access Rights	open access
oaire:version	Version of Record
Category	紀要論文 Departmental Bulletin Paper
Category	Osaka Journal of Mathematics / Volume 61, Number 4 （2024-10）

Resource Type	departmental bulletin paper
Local Type	Departmental Bulletin Paper
DCMI Type	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	English
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	English
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