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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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,150,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥750,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 変形量子化 / 指数定理 / 非可換幾何学 / 亜群 / 量子化 / ジャーブ / 非可換幾何 / twisted vectorial bundle / gerbe / 変形理論 / index theorem / 熱核 / K-理論 / noncommutative geometr / deformation quantization / star product / groupoid / automorphism group / svmplectic diffeomorphism / noncommutative geometry |
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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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Report
(6 results)
Research Products
(15 results)
