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On Coisotropic Deformations of Holomorphic Submanifolds
http://hdl.handle.net/2261/59262
http://hdl.handle.net/2261/592623a9cbe8f-bace-4112-b986-87bb4ffe85e8
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms220101.pdf (255.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2016-03-03 | |||||
| タイトル | ||||||
| タイトル | On Coisotropic Deformations of Holomorphic Submanifolds | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Poisson manifolds | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | coisotropic submanifolds | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | deformation theory | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | differential graded Lie algebras | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | derived brackets | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Bandiera, Ruggero
× Bandiera, Ruggero× Manetti, Marco |
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| 著者所属 | ||||||
| 著者所属 | Università degli studi di Roma La Sapienza, Dipartimento di Matematica “Guido Castelnuovo” | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We describe the differential graded Lie algebras governing Poisson deformations of a holomorphic Poisson manifold and coisotropic embedded deformations of a coisotropic holomorphic submanifold. In both cases,under some mild additional assumption,w e show that the infinitesimal first order deformations induced by the anchor map are unobstructed. Applications include the analog of Kodaira stability theorem for coisotropic deformation and a generalization of McLean-Voisin’s theorem about the local moduli space of Lagrangian submanifold. Finally it is shown that our construction is homotopy equivalent to the homotopy Lie algebroid of Oh, Park, Cattaneo and Felder, in the cases where this is defined. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 1, p. 1-37, 発行日 2015-02-27 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 18G55(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 13D10(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 53D17(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2013-05-13 | ||||||
