| Project/Area Number |
20540074
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
FUJII Michihiko Kyoto University, 大学院・理学研究科, 准教授 (60254231)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
UE Masaaki 京都大学, 大学院・理学研究科, 教授 (80134443)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
KAWAZUMI Nariya 東京大学, 大学院・数理科学研究科, 准教授 (30214646)
MORISHITA Masanori 九州大学, 大学院・数理学研究院, 教授 (40242515)
SAITO Kyoji 東京大学, 数物連携宇宙研究機構, 主任研究員 (20012445)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Keywords | 幾何学 / トポロジー / 双曲幾何 / 離散群 / 多様性 / アルティン群 / 増大関数 / 多様体 / 組みひも群 / オートマトン |
|---|
| Research Abstract |
The head investigator Fujii obtained several results that concerns Artin groups. First, for each Artin monoid, Fujii concretely constructed its geodesic automatic structure and obtained a rational function expression of its growth function. Next, Fujii considers representatives of each elements of Artin groups in terms of its standard generator system and gave a necessary condition such that representatives are shortest with respect to the generator system.
|
