2012 Fiscal Year Final Research Report
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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| 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 |
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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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Research Products
(13 results)
