2017 Fiscal Year Final Research Report
Computational methods in equivariant topology with applications in discrete problems
Project/Area Number |
26800043
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Geometry
|
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
|
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 |
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.
|
Free Research Field |
代数的位相幾何学
|