Study on periodic elements in the homotopy groups of spheres
| Project/Area Number |
22740045
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Tokyo City University |
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Principal Investigator |
NAKAI Hirofumi 東京都市大学, 知識工学部, 准教授 (80343739)
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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 |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2012: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 球面の安定ホモトピー群 / Adams-Novikov スペクトル系列 / 有限CWスペクトラム / Adams-Novikovスペクトル系列 |
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| Research Abstract |
We obtain some results on triviality and non-triviality of δ -elements in the Adams-Novikov E2-terms, using the module structures of some chromatic E1-terms. And we give some insights on the computability in the motivic Brown-Peterson theory, and on the fiber sequence related to GHMR-resolution of L2-localized sphere spetrcum, which is conjectured by Behrens and Ormsby.
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Report
(4 results)
Research Products
(14 results)
