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Torus Fibrations and Localization of Index I : Polarization and Acyclic Fibrations
http://hdl.handle.net/2261/52392
http://hdl.handle.net/2261/523925596b743-c15d-4f8a-9f6f-185f91738f88
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms170101.pdf (207.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2012-10-22 | |||||
| タイトル | ||||||
| タイトル | Torus Fibrations and Localization of Index I : Polarization and Acyclic Fibrations | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Geometric quantization | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | index theory | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | localization | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Fujita, Hajime
× Fujita, Hajime× Furuta, Mikio× Yoshida, Takahiko |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Gakushuin University | |||||
| 著者所属 | ||||||
| 著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Graduate School of Science and Technology, Meiji University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We define a local Riemann-Roch number for an open symplectic manifold when a completely integrable system without Bohr-Sommerfeld fiber is provided on its end. In particular when a structure of a singular Lagrangian fibration is given on a closed symplectic manifold, its Riemann-Roch number is described as the sum of the number of nonsingular Bohr-Sommerfeld fibers and a contribution of the singular fibers. A key step of the proof is formally explained as a version of Witten's deformation applied to a Hilbert bundle. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 1, p. 1-26, 発行日 2010-07-20 |
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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 | ||||||
| 53D50(MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 58J20(MSC2000) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2008-04-18 | ||||||
