| Project/Area Number |
20244003
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TSUBOI Takashi 東京大学, 大学院・数理科学研究科, 教授 (40114566)
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| Co-Investigator(Kenkyū-buntansha) |
ASUKE Taro 東京大学, 大学院・数理科学研究科, 准教授 (30294515)
KAWAZUMI Nariya 東京大学, 大学院・数理科学研究科, 准教授 (30214646)
HAYASHI Shuhei 東京大学, 大学院・数理科学研究科, 准教授 (20247208)
KANAI Masahiko 東京大学, 大学院・数理科学研究科, 教授 (70183035)
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| Co-Investigator(Renkei-kenkyūsha) |
ASAOKA Masayuki 京都大学, 大学院・理学研究科, 准教授 (10314832)
OHSHIKA Kenichi 大阪大学, 大学院・理学研究科, 教授 (70183225)
NAKAYAMA Hiromichi 青山学院大学, 理工学部, 教授 (30227970)
NODA Takeo 東邦大学, 理学部大阪大学, 准教授 (90431618)
FUJIWARA Koji 東北大学, 大学院・情報科学研究科, 教授 (60229078)
MINAKAWA Hiroyuki 山形大学, 地域教育文化学部, 准教授 (30241300)
MORIYOSHI Hitoshi 慶應義塾大学, 理工学部, 准教授 (00239708)
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| Project Period (FY) |
2008 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥44,070,000 (Direct Cost: ¥33,900,000、Indirect Cost: ¥10,170,000)
Fiscal Year 2012: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
Fiscal Year 2011: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2010: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2009: ¥8,840,000 (Direct Cost: ¥6,800,000、Indirect Cost: ¥2,040,000)
Fiscal Year 2008: ¥8,580,000 (Direct Cost: ¥6,600,000、Indirect Cost: ¥1,980,000)
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| Keywords | 幾何学 / トポロジー / 多様体 / 微分同相群 / 分類空間 / 力学系 / 離散部分群 / 位相亜群 / 葉層構造 / 微分トポロジー |
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| Research Abstract |
We studied the group of diffeomorphisms which is the automorphism group of the manifold structure. The principal investigator obtained results on the perfectness of the identity component of the group of real-analytic diffeomorphisms,the uniform perfectness and the uniform simplicity of the identity component of the group of smooth diffeomorphisms, and published them. The co-investigators obtained results on the mapping class group of surfaces, on the transversely holomorphic foliations, on connecting lemma in the theory of dynamical systems, and published them. Each year we organized meeting on the diffeomorphism groups for the collaboration and exchange the research ideas.
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