| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We studied independence of Roseman moves for surface-knot diagrams. Firstly, using immersion theory, we shed light on independence of Roseman moves including branch points. More pricisely, we constructed a pair of two 2-knots such that any sequence of Roseman moves between them contains branch points. Secondly, using quandle theory, we shed light on independence of Roseman moves including triple points. More pricisely, we constructed a pair of two 2-knots such that any sequence of Roseman moves between them contains triple points.
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