2014 Fiscal Year Final Research Report
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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| Keywords | 結び目群 / メリディアン |
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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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| Free Research Field |
位相幾何学
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