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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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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 / 結び目コンコーダンス / 接触幾何学 / Slice-ribbon予想 / Concordance / Dehn-surgery / Handle thoery / Heegaard Floer homology |
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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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Report
(3 results)
Research Products
(7 results)
