2013 Fiscal Year Final Research Report
Studies on compactifications of Teichmuller spaces
| Project/Area Number |
23540221
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Waseda University (2012-2013)
Osaka City University (2011) |
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Principal Investigator |
KOMORI Yohei 早稲田大学, 教育・総合科学学術院, 教授 (70264794)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 複素解析 / リーマン面 |
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| Research Abstract |
Except Riemann surfaces conformal to Riemann spheres minus disks and one or two points, I showed that Teichmuller spaces of RIemann surfaces of topologically finite types can be realized as polyhedron in finite dimensional real projective spaces by means of length functions of suitable choices of simple closed geodesics. Thurston boundaries of Teichmuller spaces were also considered. I also constructed degenerate families of Riemann surfaces over tori explicitly, and determined their singular fibers and holomorphic sections.
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