Elucidation of diagrammatic properties of surface-knots and construction of new invariants of surface-knots
| Project/Area Number |
21740042
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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 | Tokyo Gakugei University |
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Principal Investigator |
TANAKA Kokoro 東京学芸大学, 教育学部, 講師 (70448950)
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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 | 位相幾何 / 曲面結び目 / 結び目 / カンドル / トポロジー |
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| Research Abstract |
A surface-knot is a closed surface embedded in 4-space, and a diagram of a surface-knots is its projection image into 3-space(whose singularity set is equipped with height information). In this research, we investigate a sheet number of a surface-knot, which is one of its diagramatic properties, by using quandles. Precisely speaking, we show that a sheet number of a 11-colorable 2-knot is at least 7. As an application, we show that spun 6_2 knot has sheet number 7.
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Report
(4 results)
Research Products
(17 results)
