2009 Fiscal Year Final Research Report
Noncommutative Geometry and groupoid
| Project/Area Number |
18540093
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Keio University |
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Principal Investigator |
MIYAZAKI Naoya Keio University, 経済学部, 教授 (50315826)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 変形量子化 / 指数定理 |
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| Research Abstract |
We studied noncommutative geometry, cyclic theory, K-theory, Dirac operator on a groupoid. It is very important to resolve the fundamental problems and extension of index theory to noncommutative theory. On the other hand, we also studied nonformal deformation quantization and transcendental elements which appear nonformal deformation quantization, because they are regarded as representative of noncommutative phenomena.
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