Geometry of loop spaces: towards index theorem
| Project/Area Number |
22654011
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Keio University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KAMETANI Yukio 慶應義塾大学, 理工学部, 准教授 (70253581)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,460,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | ループ空間 / ウォジスキー留数 / チャーンサイモンズ理論 / 擬微分作用素 / 特性類 / 第2特性類 / 幾何学 / 無限次元多様体論 / 擬微分作用素の理論 / 特性類の理論 / 国際研究者交流 / アメリカ / チャーンクラス / 無限次元多様体 / 超弦理論 / ディラック作用素 / 写像空間 |
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| Research Abstract |
The aim of this research project is to deal with the loop space from geometric point of view towards to furnish the index theory of this space. Through these 2 years, we define the Riemannian metrics with Sobolev parmeter on the loop space, which is an in
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Report
(4 results)
Research Products
(9 results)
