Computational methods in equivariant topology with applications in discrete problems
Project/Area Number |
26800043
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Geometry
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Research Institution | Yamaguchi University |
Principal Investigator |
KAJI Shizuo 山口大学, 大学院創成科学研究科, 准教授 (00509656)
|
Research Collaborator |
Choi Suyoung Ajou University, Associate Professor
Theriault Stephen Southampton University, Professor
|
Project Period (FY) |
2014-04-01 – 2018-03-31
|
Project Status |
Completed (Fiscal Year 2017)
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Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
Keywords | 位相幾何学 / 同変トポロジー / 旗多様体 / トーリック多様体 / トポロジー / ホモトピー分解 / H空間 / スティーンロッド代数 / コホモロジー / グラフィックス / リー群 / 同変コホモロジー / シューベルトカルキュラス |
Outline of Final Research Achievements |
Spaces with nice group actions, such as flag manifolds and toric manifolds, are studied by algebraic topological and combinatorial techniques. Algorithms to deal with cohomology rings and cohomology operations are obtained and implemented.
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Report
(5 results)
Research Products
(36 results)
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[Presentation] Equivariant string products2016
Author(s)
S. Kaji
Organizer
The 5th GeToPhyMa: Summer school "Rational homotopy theory and its interactions" celebrating Jim Stasheff and Dennis Sullivan for their 80th and 75 anniversary
Place of Presentation
UIR Rabat, Rabat (Morocco)
Year and Date
2016-07-20
Related Report
Int'l Joint Research
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