2013 Fiscal Year Final Research Report
| Project/Area Number |
24840030
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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 | Gunma National College of Technology (2013)
Hiroshima University (2012) |
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Principal Investigator |
SHIMIZU Ayaka 群馬工業高等専門学校, その他部局等, 助教 (40638764)
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Keywords | ひずみ度 / 領域交差交換 / ひずみ多項式 / 既約度 |
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| Research Abstract |
I defined a matrix by using warping degrees which represents an oriented knot diagram on the sphere uniquely up to mirror image. This matrix is stronger than the warping polynomial which was also defined via warping degrees.
I studied the reductivity of spherical curves and found that every spherical curve has the reductivity four or less.
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