H(2)-unknotting operation related to 2-bridge links

H(2)-unknotting operation related to 2-bridge links
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H(2)-与 2 桥链路相关的解结操作

DOI:
10.1016/j.topol.2012.02.008
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发表时间:
2012
影响因子:
0.6
通讯作者:
Yuanyuan Bao
Yuanyuan Bao
中科院分区:
数学4区
文献类型:
--
作者:
T. Nomoto;S. Fukushima;M. Kumagai;K. Machitani;Arnida;Y. Matsumoto;M. Oba;K. Miyata;K. Osada;N. Nishiyama;K. Kataoka;Yuanyuan Bao

文献摘要

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本文研究了与双桥链路相关的链路的H(2)-解结数。它由三部分组成。在第一部分中,我们考虑了二桥连杆具有H(2)-解结数为1的充分必要条件。第二部分关注与H(2)-解结1的复合链接的显式形式。在最后一部分中,我们提出了一种利用二桥结来研究一类结解的H(2)-解结数的方法。
This paper concerns the H(2)-unknotting numbers of links related to 2-bridge links. It consists of three parts. In the first part, we consider a necessary and sufficient condition for a 2-bridge link to have H(2)-unknotting number one. The second part concerns an explicit form of composite links with H(2)-unknotting number one. In the last part, we develop a method of studying the H(2)-unknotting numbers of some tangle unknotting number one knots via 2-bridge knots.