2012 Fiscal Year Final Research Report
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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| 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 |
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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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Research Products
(4 results)
