ON CHARTS WITH TWO CROSSINGS II

Nagase, Teruo; Shima, Akiko

Osaka Journal of Mathematics, 2012, 49(4), 909-929

アクセス数:199件（2025-05-11 12:55 集計）

固定URL: https://doi.org/10.18910/23419

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タイトル	ON CHARTS WITH TWO CROSSINGS II
著者	著者名 Nagase, Teruo
著者	NRID 1000050317765 1000050317765 著者名 Shima, Akiko
内容	Dedicated to Professor Akio Kawauchi for his 60th birthday
抄録	Let Γ be a chart with at most two crossings. In this paper, we show that if Γ is a 2-minimal generalized n-chart with n≥5, then Γ contains at least 4n−10 black vertices. And we show that if the closure of the surface braid represented by Γ is a disjoint union of spheres, then Γ is a ribbon chart. Hence the closure is a ribbon surface.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(4)
ページ	909-929
刊行年月	2012-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23419
DOI	https://doi.org/10.18910/23419
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 49, Number 4　(2012-12）

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. 2012, 49(4), p. 909-929
DC.title	ON CHARTS WITH TWO CROSSINGS II
DC.creator	Nagase, Teruo
DC.creator	Shima, Akiko
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	2012-12
DC.description	Dedicated to Professor Akio Kawauchi for his 60th birthday
DCTERMS.abstract	Let Γ be a chart with at most two crossings. In this paper, we show that if Γ is a 2-minimal generalized n-chart with n≥5, then Γ contains at least 4n−10 black vertices. And we show that if the closure of the surface braid represented by Γ is a disjoint union of spheres, then Γ is a ribbon chart. Hence the closure is a ribbon surface.
DC.identifier	10.18910/23419
DC.format	23419
citation_title	ON CHARTS WITH TWO CROSSINGS II
citation_author	Nagase, Teruo
citation_author	Shima, Akiko
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	909
citation_lastpage	929
citation_public_url	https://hdl.handle.net/11094/23419
citation_doi_detail	10.18910/23419
citation_doi	https://doi.org/10.18910/23419