DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
复制标题
通过结多项式区分突变体
DOI：
10.1142/s0218216596000163
复制
发表时间：
1996
影响因子：
0.5
通讯作者：
P. Cromwell
中科院分区：
文献类型：
--
作者：
H. Morton;P. Cromwell
我们考虑的问题，区分突变结使用其卫星的不变量。我们表明，通过明确的计算，Homfly多项式的3平行（因此相关的量子不变量）将区分一些突变对。在建立了迫使量子不变量对突变体达成一致的着色模块的条件后，我们使用更一般的模式解释了由突变体构建的卫星Homfly多项式之间差异的几个特征。我们说明了这一点，我们的计算，从这些我们隔离一些简单的量子不变量，和框架Vassiliev不变量的类型11，区分某些突变体，包括康威和木下寺坂对。
We consider the problem of distinguishing mutant knots using invariants of their satellites. We show, by explicit calculation, that the Homfly polynomial of the 3-parallel (and hence the related quantum invariants) will distinguish some mutant pairs. Having established a condition on the colouring module which forces a quantum invariant to agree on mutants, we explain several features of the difference between the Homfly polynomials of satellites constructed from mutants using more general patterns. We illustrate this by our calculations; from these we isolate some simple quantum invariants, and a framed Vassiliev invariant of type 11, which distinguish certain mutants, including the Conway and Kinoshita-Teresaka pair.