| Project/Area Number |
20540079
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Yamaguchi University |
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Principal Investigator |
MIYAZAWA Yasuyuki Yamaguchi University, 大学院・理工学研究科, 教授 (60263761)
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| Co-Investigator(Kenkyū-buntansha) |
SATO Yoshihisa 九州工業大学, 大学院・情報工学院, 教授 (90231349)
ANDO Yoshifumi 山口大学, 大学院・理工学研究科, 教授 (80001840)
NISHIYAMA Takahiro 山口大学, 大学院・理工学研究科, 准教授 (60333241)
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| Co-Investigator(Renkei-kenkyūsha) |
KOMIYA Katsuhiro 山口大学, 大学院・理工学研究科, 教授 (00034744)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 位相幾何 / 結び目理論 / トポロジー |
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| Research Abstract |
By using a graph diagram called a magnetic graph diagram which is a generalization of a knot diagram, we constructed a few new polynomial invariants for classical and virtual knots and showed that these polynomial invariants are very useful in classifying classical and virtual knots. Moreover, we found relationships between those invariants and a few geometric invariants by investigating properties of their invariants. They are important results which lead to analyze the structure of classical and virtual knots.
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