| Project/Area Number |
22740050
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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 | Osaka Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 位相幾何学 / 結び目理論 / 結び目 / 絡み目 / リボン結び目 / リボン絡み目 / 幾何学 / トポロジー |
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| Research Abstract |
We introduced local moves on knots and links, called simple ribbonmoves and studied their effect on knots and links. Moreover, we extend the moves to aspecial kind of fusions, called simple ribbon fusions. We also studied their effect on knotsand links. In both cases we obtained results on genera of knots and links, and on primenessof knots. In the former topic, there are no difference between the statements on simpleribbon moves and simple ribbon fusions. However, in the latter topic, there is a differencein the exceptional cases.
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