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

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タイトル	THE CO-HOPFIAN PROPERTY OF THE JOHNSON KERNEL AND THE TORELLI GROUP
著者	Kida, Yoshikata 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	50
号	2
開始ページ	309
終了ページ	337
刊行年月	2013-06
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/25085
言語	英語
DOI	info:doi/10.18910/25085
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）

著者版フラグ	publisher
NII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.50(2) P.309-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-06
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/25085
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	info:doi/10.18910/25085
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/25085
citation_doi	info:doi/10.18910/25085