Automorphisms of the Torelli complex and the complex of separating curves
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- Kida Yoshikata
- Department of Mathematics, Kyoto University
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We compute the automorphism groups of the Torelli complex and the complex of separating curves for all but finitely many compact orientable surfaces. As an application, we show that the abstract commensurators of the Torelli group and the Johnson kernel for such surfaces are naturally isomorphic to the extended mapping class group.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 63 (2), 363-417, 2011
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680092925440
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- NII論文ID
- 10029321543
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- HANDLE
- 2433/197141
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- NDL書誌ID
- 11060196
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- 本文言語コード
- en
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- データソース種別
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- IRDB
- NDL
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