Cohomology of classifying spaces from the viewpoint of equivariant cohomology of cyclic groups
| Project/Area Number |
22540102
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Shibaura Institute of Technology |
|---|
Principal Investigator |
KAMEKO Masaki 芝浦工業大学, システム理工学部, 教授 (50270343)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
YAGITA Nobuaki 茨城大学, 教育学部, 教授 (20130768)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | トポロジー / 位相幾何 / 代数学 / 幾何学 / 数理物理 |
|---|
| Research Abstract |
Among important notions in topology, there are characteristic classes. Characteristic classes are elements in the cohomology of classifying spaces. So, the study of the cohomology of classifying spaces has been attracting the attention of many mathematicians. In our research project, we attempted to compute the cohomology of classifying spaces. When the cohomology of structure group has torsion, the computation tends to be difficult. We dealt with such groups and computed the cohomology of some spaces related to classifying spaces.
|
Report
(4 results)
Research Products
(24 results)
