2014 Fiscal Year Final Research Report
Singularity theory of mappings from the viewpoint of low-dimensional topology
| Project/Area Number |
22540074
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Seikei University (2011-2014)
Shinshu University (2010) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2010-04-01 – 2015-03-31
|
| Keywords | 多様体 |
|---|
| Outline of Final Research Achievements |
I studied various topics related to singularities of differentiable mappings in order to have new knowledge on differential topology. First, I studied immersions (ie maps with no singularities) between smooth manifolds, using (mainly global aspects of) singularity theory, and published two journal articles. Next, I studied fold maps (smooth maps with only "the mildest" singularities called fold singularities), and published two journal articles. Moreover, I published another journal article on a certain transformation of diagrams of classical knots. I also began to study surface-knots in the last year of the program.
|
| Free Research Field |
微分位相幾何学
|
