BAND SURGERY ON KNOTS AND LINKS, II
BAND SURGERY ON KNOTS AND LINKS, II
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DOI：
10.1142/s0218216512500861
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发表时间：
2012-08-01
影响因子：
0.5
通讯作者：
Kanenobu, Taizo
中科院分区：
文献类型：
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作者：
Kanenobu, Taizo
如果定向的2-组分连接可以通过单个带手术解开，则称为带可平凡化的。我们考虑是否一个给定的2分量链路是带trivializable或没有。然后，我们可以完全确定的带平凡化的素链路与多达9个交叉。我们使用的签名，琼斯和Q多项式，和Arf不变量。由于带可平凡化环的4球亏格为零，我们也给出了一个表的4球亏格的素环多达9个交叉。此外，我们给出了一个额外的答案的问题，一个（2n + 1）-交叉2-桥结是否相关的一个（2，2n）环面链接或不通过带手术n = 3，4，这来自于研究的DNA位点特异性重组。
An oriented 2-component link is called band-trivializable, if it can be unknotted by a single band surgery. We consider whether a given 2-component link is band-trivializable or not. Then we can completely determine the band-trivializability for the prime links with up to 9 crossings. We use the signature, the Jones and Q polynomials, and the Arf invariant. Since a band-trivializable link has 4-ball genus zero, we also give a table for the 4-ball genus of the prime links with up to 9 crossings. Furthermore, we give an additional answer to the problem of whether a (2n + 1)-crossing 2-bridge knot is related to a (2, 2n) torus link or not by a band surgery for n = 3, 4, which comes from the study of a DNA site-specific recombination.