THE CO-HOPFIAN PROPERTY OF THE JOHNSON KERNEL AND THE TORELLI GROUP

Kida, Yoshikata

Osaka Journal of Mathematics, 2013, 50(2), 309-337

アクセス数:136件（2025-07-06 07:20 集計）

固定URL: https://doi.org/10.18910/25085

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タイトル	THE CO-HOPFIAN PROPERTY OF THE JOHNSON KERNEL AND THE TORELLI GROUP
著者	NRID 1000090451517 1000090451517 著者名 Kida, Yoshikata
抄録	For all but finitely many compact orientable surfaces, we show that any superinjective map from the complex of separating curves into itself is induced by an element of the extended mapping class group. We apply this result to proving that any finite index subgroup of the Johnson kernel is co-Hopfian. Analogous properties are shown for the Torelli complex and the Torelli group.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	309-337
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25085
DOI	https://doi.org/10.18910/25085
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 50, Number 2　(2013-6）

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. 2013, 50(2), p. 309-337
DC.title	THE CO-HOPFIAN PROPERTY OF THE JOHNSON KERNEL AND THE TORELLI GROUP
DC.creator	Kida, Yoshikata
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	2013-06
DCTERMS.abstract	For all but finitely many compact orientable surfaces, we show that any superinjective map from the complex of separating curves into itself is induced by an element of the extended mapping class group. We apply this result to proving that any finite index subgroup of the Johnson kernel is co-Hopfian. Analogous properties are shown for the Torelli complex and the Torelli group.
DC.identifier	10.18910/25085
DC.format	25085
citation_title	THE CO-HOPFIAN PROPERTY OF THE JOHNSON KERNEL AND THE TORELLI GROUP
citation_author	Kida, Yoshikata
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	309
citation_lastpage	337
citation_public_url	https://hdl.handle.net/11094/25085
citation_doi_detail	10.18910/25085
citation_doi	https://doi.org/10.18910/25085