Orientations and invariants of handlebody-knots
| Project/Area Number |
15K04866
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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 | 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) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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)
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| Keywords | 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 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: We defined a multiple conjugation biquandle, which is a biquandle with partial group operations. We introduced the (co)homology theory for a multiple conjugation biquandle.
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Report
(4 results)
Research Products
(7 results)
