study of knots with strong triviality

Research Project

Project/Area Number	22740052
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Single-year Grants
Research Field	Geometry
Research Institution	University of Occupational and Environmental Health, Japan
Principal Investigator	TORISU Ichiro 産業医科大学, 医学部, 准教授 (50323134)
Project Period (FY)	2010-04-01 – 2014-03-31
Project Status	Completed (Fiscal Year 2013)
Budget Amount *help	¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000) Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000) Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords	結び目 / 絡み目 / 隣接性 / 強自明性 / ２橋結び目 / モンテシノス結び目 / ザイフェルト多様体 / N-隣接性 / 2橋結び目 / デーン手術 / レンズ空間
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.

Report

(5 results)