Knot adjacency and satellites

Knot adjacency and satellites
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结邻接和卫星

DOI:
10.1016/j.topol.2003.08.001
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发表时间:
2003
影响因子:
0.6
通讯作者:
Xiaoxia Lin
Xiaoxia Lin
中科院分区:
数学4区
文献类型:
--
作者:
Efstratia Kalfagianni;Xiaoxia Lin

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A knot K is called n-adjacent to the unknot, if K admits a projection containing ngeneralized crossings such that changing any 00, if and only if it is n-adjacent to the unknot in any companion solid torus. In particular, every model knot of K is n-adjacent to the unknot. Along the way of proving these results, we also show that 2-bridge knots of the form Kp/q, where p/q=[2q1,2q2] for some q1,q2∈ Z , are precisely those knots that have genus one and are 2-adjacent to the unknot.
关于强 n-平凡结
DOI: --
发表时间: 2006
期刊:
影响因子: --
作者:
Toshiaki;ADACHI;足利 正;足利 正;足利 正;足利 正;足利 正;鳥巣伊知郎
通讯作者: 鳥巣伊知郎