| Project/Area Number |
22740044
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Toho University |
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Principal Investigator |
NODA Takeo 東邦大学, 理学部, 講師 (90431618)
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| Project Period (FY) |
2010 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 位相幾何学 / 葉層構造 / 力学系 / 安定葉層 / 多重葉層構造 |
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| Research Abstract |
Transitive Anosov flows on 3-manifolds can be described as ones obtained by Dehn surgeries from suspension flows of pseudo-Anosov maps of surfaces. The images of such surfaces in 3-manifolds are called Birkhoff sections. We try to understand the topology of Anosov flows on 3-manifolds using Birkhodd sections. In the work of Kamatani, Kodama and Noda, a Birkhoff section of genus 0 has been found for the Bonatti-Langevin example of Anosov flow. In this work, we study the existence of Birkhoff sections of genus 1 for the same flow.
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