Handlebody-knots and invariants
| Project/Area Number |
24740037
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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 | University of Tsukuba |
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Principal Investigator |
ISHII Atsushi 筑波大学, 数理物質系, 講師 (00531451)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 位相幾何学 / 結び目理論 |
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| Outline of Final Research Achievements |
A handlebody-link is a disjoint union of handlebodies embedded in the 3-sphere. A handlebody-knot is a one component handlebody-link. A genus one handlebody-knot corresponds to a usual knot. That is, a handlebody-knot is a natural generalization of a knot. The results of this study are as follows: The (co)homology theory for multiple conjugation quandles, which is a quandle with partial group operations, was introduced.
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Report
(4 results)
Research Products
(7 results)
