A CHARACTERIZATION OF CONWAY-COXETER FRIEZES OF ZIGZAG TYPE BY RATIONAL LINKS

Kogiso, Takeyoshi; Wakui, Michihisa

Osaka Journal of Mathematics, 2022, 59(2), 341-362

アクセス数:86件（2025-04-28 21:09 集計）

固定URL: https://doi.org/10.18910/87481

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タイトル	A CHARACTERIZATION OF CONWAY-COXETER FRIEZES OF ZIGZAG TYPE BY RATIONAL LINKS
著者	NRID 1000020282296 1000020282296 著者名 Kogiso, Takeyoshi
著者	NRID 1000060252574 1000060252574 著者名 Wakui, Michihisa
抄録	The present paper show that Conway-Coxeter friezes of zigzag type are characterized by (unoriented) rational links. As an application of this characterization Jones polynomial can be defined for Conway-Coxeter friezes of zigzag type. This gives a new method for computing the Jones polynomial for oriented rational links.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(2)
ページ	341-362
刊行年月	2022-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/87481
DOI	https://doi.org/10.18910/87481
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 59, Number 2 （2022-4）

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. 2022, 59(2), p. 341-362
DC.title	A CHARACTERIZATION OF CONWAY-COXETER FRIEZES OF ZIGZAG TYPE BY RATIONAL LINKS
DC.creator	Kogiso, Takeyoshi
DC.creator	Wakui, Michihisa
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	2022-04
DCTERMS.abstract	The present paper show that Conway-Coxeter friezes of zigzag type are characterized by (unoriented) rational links. As an application of this characterization Jones polynomial can be defined for Conway-Coxeter friezes of zigzag type. This gives a new method for computing the Jones polynomial for oriented rational links.
DC.identifier	10.18910/87481
DC.format	87481
citation_title	A CHARACTERIZATION OF CONWAY-COXETER FRIEZES OF ZIGZAG TYPE BY RATIONAL LINKS
citation_author	Kogiso, Takeyoshi
citation_author	Wakui, Michihisa
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	2
citation_firstpage	341
citation_lastpage	362
citation_public_url	https://hdl.handle.net/11094/87481
citation_doi_detail	10.18910/87481
citation_doi	https://doi.org/10.18910/87481