The mapping class group action on the space of representations of surface groups and complex dynamics
| Project/Area Number |
20540076
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Nara Women's University |
|---|
Principal Investigator |
YAMASHITA Yasushi Nara Women's University, 理学部, 教授 (70239987)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
|---|
| Keywords | 双曲幾何 / クライン群 / 複素力学系 / 分岐被覆 / 写像類群 / 語の問題 |
|---|
| Research Abstract |
I was succeeded in constructing a counter example to the conjecture on the end invariant of the character variety of the free group of rank two. This was a joint word with Prof. S.P.Tan and Prof.M.Sakuma. I have found a set of rays similar to the pleating rays in the diagonal slice of the character variety with Prof.C.Series and Prof.S.P.Tan. With Prof.Y.Rieck, I showed that the complexity of the word problem for the automorphism groups of right-angled Artin groups is bounded from above by a polynomial.
|
Report
(4 results)
Research Products
(26 results)
