2012 Fiscal Year Final Research Report
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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| Keywords | 結び目 / 曲面結び目 / カンドル / G-family of quandles |
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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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Research Products
(18 results)
