2011 Fiscal Year Final Research Report
Estimates of knot invariants via diagrams and geometrical sence of them
| Project/Area Number |
20740035
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Nagoya University |
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Principal Investigator |
KAWAMURA Tomomi 名古屋大学, 多元数理科学研究科, 准教授 (40348462)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 位相幾何 / 結び目理論 |
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| Research Abstract |
We have never found any formula to determine the minimum number of crossing changes needed to unknot any given knot. In this research, we estimate this minimum number via a diagram of the knot, more strictly than known results. Essentially, we estimate the four-genus, the Rasmussen invariant, and Ozsvath and Szabo's invariant.
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