| Project/Area Number |
20540092
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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 | Tokai University |
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Principal Investigator |
HARA Masao Tokai University, 理学部, 准教授 (10238165)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUMOTO Satoshi 東海大学, 理学部, 准教授 (30307235)
TANI Seiichi 日本大学, 文理学部, 教授 (70266708)
YAMAMOTO Makoto 中央大学, 理工学部, 教授 (10158305)
ONISHI Kensuke 東海大学, 理学部, 講師 (00303024)
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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 |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 計算位相幾何 / 絡み目不変量 / 計算位相幾何学 / Jones多項式 / Montesinos絡み目 |
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| Research Abstract |
We researched into polynomial invariants of knots and links that play an important role in the knot theory. We analyzed the complexity of determining the link polynomials from link diagrams. We designed polynomial time algorithms that compute link polynomials from certain link diagrams. We developed our algorithms that compute link polynomials from 2-bridge or closed 3-braid diagrams into a polynomial time algorithms that compute link polynomials from Motesinos diagrams.
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