Singularity theory of product maps and its applications
| Project/Area Number |
26800042
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Kyoto University (2016-2017)
Kyushu University (2014-2015) |
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Principal Investigator |
Takao Kazuto 京都大学, スーパーグローバルコース数学系ユニット, 特定助教 (80643832)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| 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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| Keywords | 可微分写像 / 特異点 / Stein分解 / 低次元多様体 / Heegaard分解 / 結び目 / 橋位置 / 橋分解 / 橋球面 / ブラジル |
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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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Report
(5 results)
Research Products
(20 results)
