2014 Fiscal Year Final Research Report
Handlebody-knots and invariants
| Project/Area Number |
24740037
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | University of Tsukuba |
|---|
Principal Investigator |
ISHII Atsushi 筑波大学, 数理物質系, 講師 (00531451)
|
|---|
| Project Period (FY) |
2012-04-01 – 2015-03-31
|
| Keywords | 位相幾何学 / 結び目理論 |
|---|
| Outline of Final Research Achievements |
A handlebody-link is a disjoint union of handlebodies embedded in the 3-sphere. A handlebody-knot is a one component handlebody-link. A genus one handlebody-knot corresponds to a usual knot. That is, a handlebody-knot is a natural generalization of a knot. The results of this study are as follows: The (co)homology theory for multiple conjugation quandles, which is a quandle with partial group operations, was introduced.
|
| Free Research Field |
低次元トポロジー
|
