Some Remarks on Rotors in Link Theory

Some Remarks on Rotors in Link Theory
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关于连杆理论中转子的一些评论

DOI:
10.4153/cmb-1991-077-1
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发表时间:
1991
期刊:
Canadian mathematical bulletin
影响因子:
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通讯作者:
D. Rolfsen
D. Rolfsen
中科院分区:
--
文献类型:
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作者:
G. T. Jin;D. Rolfsen

文献摘要

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摘要本文给出了一些例子,证明了连杆多项式在广义突变下的不变性的某些结果是最好的。此外,他们还表明,这种普遍的突变不能由一系列普通突变来影响。其中一个例子还表明,约简的琼斯多项式可以是一个比琼斯多项式本身更敏感的不变量。
Abstract We present examples showing that certain results on the invariance of link polynomials under generalized mutation are the best possible. They show, moreover, that this generalized mutation cannot be effected by a sequence of ordinary mutations. One of the examples also shows that the reduced Jones polynomial can be a more sensitive invariant than the Jones polynomial itself.