| Project/Area Number |
15K17531
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Okayama University of Science (2016)
The University of Tokyo (2015) |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | GKM多様体 / 複雑性1のトーラス作用 / 群の作用の拡張 / 複雑性1のGKM多様体 / 拡張作用 / GKMグラフ / 同変コホモロジー / トーラス多様体 / コンパクトリー群の作用 / 擬トーリック多様体 / ルート系 |
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| Outline of Final Research Achievements |
We have obtained the following results about complexity one GKM manifolds:
(1)Classification of GKM manifolds over the complete graph with 4-vertices K4, (2)Construction of the invariant about an extension of bigger torus actions, (3) Classification of complexity one GKM manifolds with the exceptional Lie group G2 and A2-type Lie group extended actions, (4) Equivariant cohomology ring of torus orbifolds (joint work with Darby and Song), (5) Topology of flagged Bott tower (joint work with Lee, Song Suh).
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