TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION

Kanenobu, Taizo; Sumi, Toshio

doi:https://doi.org/10.18910/77230

TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION

Kanenobu, Taizo; Sumi, Toshio

Osaka Journal of Mathematics, 2020, 57(4), 789-803

アクセス数:273件（2025-07-01 19:33 集計）

固定URL: https://doi.org/10.18910/77230

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タイトル	TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION
著者	NRID 1000000152819 1000000152819 著者名 Kanenobu, Taizo
著者	NRID 1000050258513 1000050258513 著者名 Sumi, Toshio
抄録	The twisted Alexander polynomial is defined as a rational function, not necessarily a polynomial. It is shown that for a ribbon 2-knot, the twisted Alexander polynomial associated to an irreducible representation of the knot group to SL(2, F) is always a polynomial. Furthermore, the twisted Alexander polynomial of a fibered ribbon 2-knot of 1-fusion has the lowest and highest degree coefficients 1 with breadth 2m − 2, where m is the breadth of its Alexander polynomial.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(4)
ページ	789-803
刊行年月	2020-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/77230
DOI	https://doi.org/10.18910/77230
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 57, Number 4 （2020-10）

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. 2020, 57(4), p. 789-803
DC.title	TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION
DC.creator	Kanenobu, Taizo
DC.creator	Sumi, Toshio
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	2020-10
DCTERMS.abstract	The twisted Alexander polynomial is defined as a rational function, not necessarily a polynomial. It is shown that for a ribbon 2-knot, the twisted Alexander polynomial associated to an irreducible representation of the knot group to SL(2, F) is always a polynomial. Furthermore, the twisted Alexander polynomial of a fibered ribbon 2-knot of 1-fusion has the lowest and highest degree coefficients 1 with breadth 2m − 2, where m is the breadth of its Alexander polynomial.
DC.identifier	10.18910/77230
DC.format	77230
citation_title	TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION
citation_author	Kanenobu, Taizo
citation_author	Sumi, Toshio
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	4
citation_firstpage	789
citation_lastpage	803
citation_public_url	https://hdl.handle.net/11094/77230
citation_doi_detail	10.18910/77230
citation_doi	https://doi.org/10.18910/77230

TWISTED ALEXANDER POLYNOMIAL OF A RIBBON 2-KNOT OF 1-FUSION

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