2017 Fiscal Year Final Research Report
On the slice-ribbon conjecture
| Project/Area Number |
16K17597
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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 | Ritsumeikan University (2017)
Osaka City University (2016) |
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Principal Investigator |
Abe Tetsuya 立命館大学, 理工学部, 嘱託講師 (00614009)
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| Project Period (FY) |
2016-04-01 – 2018-03-31
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| Keywords | スライス・リボン予想 / 4次元多様体 / ハンドル分解 / コンタクト構造 / 結び目理論 / 力学系 |
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| Outline of Final Research Achievements |
We wrote the paper " Ribbon disks with the same exterior " and submitted to "Communications in Analysis and Geometry", and it was accepted.In this paper, we constructed infinitely many ribbon disks whose exteriors are the same. The idea to construct is to use annulus twists. Also, we are writing a paper on the enhanced Milnor number with Keiji Tagami.
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| Free Research Field |
低次元トポロジー（特に結び目理論）
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