SELF-INTERSECTIONS OF CURVES ON A SURFACE AND BERNOULLI NUMBERS

Fukuhara, Shinji; Kawazumi, Nariya; Kuno, Yusuke

Osaka Journal of Mathematics, 2018, 55(4), 761-768

アクセス数:99件（2025-03-19 20:52 集計）

固定URL: https://doi.org/10.18910/70820

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タイトル	SELF-INTERSECTIONS OF CURVES ON A SURFACE AND BERNOULLI NUMBERS
著者	NRID 1000020011687 1000020011687 著者名 Fukuhara, Shinji
	NRID 1000030214646 1000030214646 著者名 Kawazumi, Nariya
	NRID 1000080632760 1000080632760 著者名 Kuno, Yusuke
抄録	We study an operation which measures self-intersections of curves on an oriented surface. It turns out that a certain computation on this topological operation is related to the Bernoulli numbers Bₘ, and our study yields a family of explicit formulas for Bₘ. As a special case, this family contains the celebrated formula for Bₘ due to Kronecker.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(4)
ページ	761-768
刊行年月	2018-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/70820
DOI	https://doi.org/10.18910/70820
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 55, Number 4 （2018-10）

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. 2018, 55(4), p. 761-768
DC.title	SELF-INTERSECTIONS OF CURVES ON A SURFACE AND BERNOULLI NUMBERS
DC.creator	Fukuhara, Shinji
	Kawazumi, Nariya
	Kuno, Yusuke
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	2018-10
DCTERMS.abstract	We study an operation which measures self-intersections of curves on an oriented surface. It turns out that a certain computation on this topological operation is related to the Bernoulli numbers Bₘ, and our study yields a family of explicit formulas for Bₘ. As a special case, this family contains the celebrated formula for Bₘ due to Kronecker.
DC.identifier	10.18910/70820
DC.format	70820
citation_title	SELF-INTERSECTIONS OF CURVES ON A SURFACE AND BERNOULLI NUMBERS
citation_author	Fukuhara, Shinji
	Kawazumi, Nariya
	Kuno, Yusuke
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	4
citation_firstpage	761
citation_lastpage	768
citation_public_url	https://hdl.handle.net/11094/70820
citation_doi_detail	10.18910/70820
citation_doi	https://doi.org/10.18910/70820