Schubert calculus from algebraic topological viewpoint
Project/Area Number |
22740051
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Geometry
|
Research Institution | Yamaguchi University |
Principal Investigator |
KAJI Shizuo 山口大学, 理工学研究科, 講師 (00509656)
|
Project Period (FY) |
2010-10-20 – 2014-03-31
|
Project Status |
Completed (Fiscal Year 2013)
|
Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
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 / コホモロジー / 幾何学 / 位相幾何学 / 同変トポロジー / 同変コホモロジー / シューベルトカリキュラス |
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.
|
Report
(5 results)
Research Products
(33 results)