A PLAT FORM PRESENTATION FOR SURFACE-LINKS

Yasuda, Jumpei

Osaka Journal of Mathematics, 2025, 62(4), 565-586

アクセス数:14件（2026-02-16 12:11 集計）

固定URL: https://doi.org/10.18910/102978

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	A PLAT FORM PRESENTATION FOR SURFACE-LINKS
著者	NRID 1000021021627 1000021021627 著者名 Yasuda, Jumpei
抄録	In this paper, we introduce a method, called a plat form, of describing a surface-link in the 4-space using a braided surface. We prove that every surface-link, which is not necessarily orientable, can be described in a plat form. The plat index is defined as a surface-link invariant, which is an analogy of the bridge index for a link in the 3-space. We classify surface-links with plat index 1 and show some examples of surface-links in plat forms.
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(4)
ページ	565-586
刊行年月	2025-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102978
DOI	https://doi.org/10.18910/102978
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 4 （2025-09)

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(4), p. 565-586
DC.title	A PLAT FORM PRESENTATION FOR SURFACE-LINKS
DC.creator	Yasuda, Jumpei
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	2025-10
DCTERMS.abstract	In this paper, we introduce a method, called a plat form, of describing a surface-link in the 4-space using a braided surface. We prove that every surface-link, which is not necessarily orientable, can be described in a plat form. The plat index is defined as a surface-link invariant, which is an analogy of the bridge index for a link in the 3-space. We classify surface-links with plat index 1 and show some examples of surface-links in plat forms.
DC.identifier	10.18910/102978
DC.format	102978
citation_title	A PLAT FORM PRESENTATION FOR SURFACE-LINKS
citation_author	Yasuda, Jumpei
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	4
citation_firstpage	565
citation_lastpage	586
citation_public_url	https://hdl.handle.net/11094/102978
citation_doi_detail	10.18910/102978
citation_doi	https://doi.org/10.18910/102978