2000 Fiscal Year Final Research Report Summary
Topology of knots and 3-manifolds
| Project/Area Number |
11640065
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Tokyo Institute of Technology |
|---|
Principal Investigator |
OHTSUKI Tomotada Tokyo Institute of Techonology, Graduate School of Information Science and Engineering, Associate professor, 大学院・情報理工学研究科, 助教授 (50223871)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
MURAKAMI Hitoshi Tokyo Institute of Technology, Graduate School of Science and Engineering, Associate Professor, 大学院・理工学研究科, 助教授 (70192771)
|
|---|
| Project Period (FY) |
1999 – 2000
|
| Keywords | Knot / 3-manifold / Quantum Invariant / Kontsevich Invariant / Vassiliev Invariant / Perturbative invariant / The LMO Invariant / Finite Type Invariant |
|---|
| Research Abstract |
The author had studied quantum and related invariants of knots and 3-manifolds, such as the Kontsevich invariant, Vassiliev invariants, perturbative invariants, the LMO invariant, and finite type invariants. In this research the author obtained various results on such invariants and their relations. Further, he completed a preliminary version of his book written as an extensive exposition on this topic.
|
