Applications of global coordinate systems for the representation spaces of punctured surface groups
| Project/Area Number |
22540191
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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 |
Basic analysis
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| Research Institution | Shimane University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
SAKUMA Makoto 広島大学, 理学研究科, 教授 (30178602)
MOROSAWA Shunsuke 高知大学, 理学部, 教授 (50220108)
MIYACHI Hideki 大阪大学, 理学研究科, 准教授 (40385480)
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| Research Collaborator |
NAKAMURA Gou 愛知工業大学, 工学部, 准教授 (50319208)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | タイヒミュラー空間 / リーマン面 / 離散群 / 写像類群 / 双曲幾何学 / フックス群 / 双曲幾何 / マクシェイン型恒等式 / 不連続群 |
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| Research Abstract |
R.C.Penner’s lambda length coordinate system for the Teichmuller space of a punctured surface has many applications to complex analysis, differential geometry, topology and to mathematical physics. We introduced a complexification of Penner’s coordinates in order to parametrize SL(2,C) representation spaces of punctured surface groups. The complex coordinates are applied to the theories of Kleinian groups, hyperbolic 3-manifolds, mapping class groups, complex dynamics and number theory.
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Report
(4 results)
Research Products
(22 results)
