Deformation spaces of discrete groups and hyperbolic structures
| Project/Area Number |
20540074
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
FUJII Michihiko Kyoto University, 大学院・理学研究科, 准教授 (60254231)
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| Co-Investigator(Kenkyū-buntansha) |
UE Masaaki 京都大学, 大学院・理学研究科, 教授 (80134443)
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| 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)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| 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)
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| 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 |
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| 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.
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Report
(4 results)
Research Products
(14 results)
