Study on Milnor invariants via finite type invariants
| Project/Area Number |
26400081
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Tsuda College (2016)
Tokyo Gakugei University (2014-2015) |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | ミルナー不変量 / 絡み目 / 有限型不変量 / ストリング絡み目 / クローバー絡み目 / 被覆絡み目 / HOMFLYPT多項式 |
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| Outline of Final Research Achievements |
For an n-component link, the Milnor invariant is defined for any finite sequence of numbers in {1,2,...,n}. It is very important in Knot (Link) Theory to study relations between Milnor invariant and other invariants. In this research, we give relations between Milnor invariant and HOMFLYPT polynomial, and Milnor invarinats and Milnor invariants for covering link (covering Milnor invarinats).
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Report
(4 results)
Research Products
(8 results)
