2016 Fiscal Year Final Research Report
Pro-finite completion of a 3-manifold group and its relation to topological invariants
| Project/Area Number |
25400101
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Soka University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
MORIFUJI Takayuki 慶応義塾大学, 経済学部, 教授 (90334466)
|
|---|
| Research Collaborator |
TRAN Anh University of Texas at Dallas
|
|---|
| Project Period (FY) |
2013-04-01 – 2017-03-31
|
| Keywords | 基本群 / Reidemeister torsion / linear representation |
|---|
| Outline of Final Research Achievements |
We studied 3-dimensional topology from the view point of the pro-finite completion of the fundamental group of a 3-manifold manifold. In particular we studied Reiemeister torsion for SL(2;C)-representations, which is defined by using linear representations of the fundamental group.Denis Johnson proposed some theory related with Reidemeister torsion. We obtained some formula of Reidemeister torsion, which would be related with Galois group, or Galois extensions of a field.
|
| Free Research Field |
低次元トポロジー
|
