On epimorphisms between knot groups non-preserving meridians
| Project/Area Number |
24740035
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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 | Meiji University (2013-2014)
Akita University (2012) |
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Principal Investigator |
SUZUKI Masaaki 明治大学, 総合数理学部, 准教授 (70431616)
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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 |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 結び目群 / メリディアン / 結び目群間の全射準同型 / 全射準同型 |
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| Outline of Final Research Achievements |
In this research, we construct infinitely many examples of prime knots which admit non-meridional epimorphisms onto the trefoil knot. Moreover these knots never admit meridional epimorphisms onto the trefoil knot. This statement holds for the figure eight knot too.
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Report
(4 results)
Research Products
(9 results)
