| Project/Area Number |
23654024
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
MIYACHI Hideki 大阪大学, 大学院・理学研究科, 准教授 (40385480)
ENDO Hisaaki 東京工業大学, 大学院・理工学研究科, 教授 (20323777)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | レフシェッツファイバー空間 / タイヒミュラー空間 |
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| Research Abstract |
Shiga obtained effective bounds of holomorphic families of Riemann surfaces, and also showed the rigidity and the finiteness of Teichmuller curves. In a joint work with Miyachi, Shiga studied relations of the holonomy and the slope inequality of Lefschetz fibrations.
Miyachi clarified the boundary behavior of the Teichmuller distance.
In a joint work with T. Mark and J. Van Horn-Morries, Endo found monodromy permutations for rational blow-downs and developed some method to study Lefschetz fibrations by using finite graphs.
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