| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
I worked on a new area in singularity theory of differentiable maps with particular attention to product structures of maps, and on its applications to low-dimensional topology. In consequence, I made steady progress on the stability and deformations of singularities of the product map of multiple functions, which will hopefully base future developments and applications. I also worked on related topics and obtained some unexpected results, including a certain significant discovery on the theory of bridges of knots.
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