2013 Fiscal Year Final Research Report
study of knots with strong triviality
| Project/Area Number |
22740052
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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 | University of Occupational and Environmental Health, Japan |
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Principal Investigator |
TORISU Ichiro 産業医科大学, 医学部, 准教授 (50323134)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | 結び目 / 絡み目 / 隣接性 / 強自明性 / ２橋結び目 |
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| Research Abstract |
I studied adjacency relation and strong triviality for knots or links. I got many results by using both geomatrical and algebraic arguments. Especially, I extend known results of 2-bridge knots, Montesinos knot, and torus knots. By 3-manifold theory (for example, branched covering), I found the roll of study of adjacency and strong triviality in 3-dimensional topology.
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