Quandle theory and surface-link invariants
| Project/Area Number |
23840040
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Japan Women's University |
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Principal Investigator |
OSHIRO Kanako 日本女子大学, 理学部, 助教 (90609091)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 結び目 / 曲面結び目 / カンドル / G-family of quandles / 曲面絡み目 / ラック / Roseman 変形 / 三重点 / handlebody-knot / Linear Alexander quandle / Minimal number of colors |
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| Research Abstract |
In this research, we gave the following results: (1) We gave an evaluation for the minimum number of colors for surface-knots. (2) We defined a G-family of quandles, and constructed an invariant for handlebody-knots. (3) We researched about the colorability with linear Alexander quandles. (4) We showed that rack colorings are invariant for 2-knots.
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Report
(3 results)
Research Products
(32 results)
