| Project/Area Number |
25400093
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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 |
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, 大学院工学研究院, 教授 (60266913)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | L空間 / 擬交代絡み目 / 共役ねじれ元 / カウフマン多項式 / Ｌ空間 / 巡回分岐被覆空間 / 結び目 / Ｑ多項式 / デーン手術 |
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| Outline of Final Research Achievements |
In Heegaard Floer homology theory, L-spaces are the simplest 3-manifolds. I studied when the cyclic branched covers of knots are L-spaces, and showed that certain covers of genus one 2-bridge knots and alternating knots are L-spaces. Second, I gave simple criteria for quasi-alternating links in terms of Q-polynomials and Kauffman polynomials. Finally, I gave the first infinite family of knots whose knot groups contain generalized torsion elements.
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