2013 Fiscal Year Final Research Report
Schubert calculus from algebraic topological viewpoint
| Project/Area Number |
22740051
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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 | Yamaguchi University |
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Principal Investigator |
KAJI Shizuo 山口大学, 理工学研究科, 講師 (00509656)
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| Project Period (FY) |
2010-10-20 – 2014-03-31
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| Keywords | トポロジー / リー群 / シューベルトカルキュラス / 旗多様体 |
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| Research Abstract |
Some problems in Schubert calculus are studied from algebraic topological viewpoint. A type-uniform treatment for the torus equivariant cohomology ring of the flag varieties including exceptional ones is given. A generalisation of Schubert calculus to a class of manifolds with good Lie group actions is also obtained.
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