Study on structures of knot space and knot invariants
| Project/Area Number |
21540081
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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 | Kobe University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
SATOH Shin 神戸大学, 大学院・理学研究科, 准教授 (90345009)
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| Co-Investigator(Renkei-kenkyūsha) |
OHYAMA Yoshiyuki 東京女子大学, 現代教養学部, 教授 (80223981)
UCHIDA Yoshiaki 神戸薬科大学, 薬学部, 教授 (80280890)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 結び目理論 / 結び目不変量 / 局所変形 / 結び目空間 |
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| Research Abstract |
We have studied structures and invariants of knots by local moves to research the structure of knot space. We give a result on the structure of knot space with respect to crossing changes and Alexander polynomials. We give a method to construct infinite families of composite knots with# unknotting number one.
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Report
(4 results)
Research Products
(22 results)
