ExceptionalDehn surgeries on hyperbolic knots
| Project/Area Number |
22540088
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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 |
Geometry
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| Research Institution | Hiroshima University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
GODA Hiroshi 東京農工大学, 大学院・共生科学技術研究科, 教授 (60266913)
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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 |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 位相幾何学 / 結び目 / 3次元多様体 / デーン手術 / 不変順序 / 左不変順序 |
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| Research Abstract |
Recently, there has been a lot of interest in the problem whenthe fundamental groups of 3-manifolds admit left-orderings. In particular, there is a conjecture that the class of irreducible L-spaces coincides with the class of 3-manifolds whose fundamental groups admit no left-orderings. In this research, we examined the resulting 3-manifolds by Dehn surgery on 2-bridge knots, and obtained several values and ranges of surgery slopes giving left-orderable fundamental groups.
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Report
(4 results)
Research Products
(10 results)
