2013 Fiscal Year Final Research Report
Fosterage of the visualization of the linearity for mapping class groups of surfaces
| Project/Area Number |
23540102
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kochi University of Technology |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | 曲面の写像類群 / 線形表現 / 変形空間 / 曲線複体 |
|---|
| Research Abstract |
We studied problems which arise from the viewpoint of the visualization of the linearity of mapping class groups of surfaces, which we established previously, towards building the theoretical setup for deciding their linearity. Consequently, we improved our visualization itself, obtained a new restriction for the global fixed points of the action of mapping class group on the deformation space of complex linear representations of surface group of low dimensions, and obtained a new restriction related with so-called the Earle class towards the classification of 2g+1 dimensional linear representation for the case of genus g surfaces.
|
