| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
I studied various topics related to singularities of differentiable mappings in order to have new knowledge on differential topology. First, I studied immersions (ie maps with no singularities) between smooth manifolds, using (mainly global aspects of) singularity theory, and published two journal articles. Next, I studied fold maps (smooth maps with only "the mildest" singularities called fold singularities), and published two journal articles. Moreover, I published another journal article on a certain transformation of diagrams of classical knots. I also began to study surface-knots in the last year of the program.
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