4-moves and the Dabkowski-Sahi invariant for knots
4-moves and the Dabkowski-Sahi invariant for knots
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4 步动作和结的 Dabkowski-Sahi 不变量
DOI：
10.1142/s0218216513500697
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Robert G. Todd
中科院分区：
文献类型：
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作者：
Mark Brittenham;S. Hermiller;Robert G. Todd
本文研究了Dabkowski和Sahi发展的三维球面上链环的4-移动不变量\CRL，它被定义为链补的基本群的商。我们发展了计算这种不变量的技术，并证明了对于几类纽结，它等于纽结的不变量；因此，在这些情况下，不变量不能检测到4步猜想的反例。
We study the 4-move invariant \crl\ for links in the 3-sphere developed by Dabkowski and Sahi, which is defined as a quotient of the fundamental group of the link complement. We develop techniques for computing this invariant and show that for several classes of knots it is equal to the invariant for the unknot; therefore, in these cases the invariant cannot detect a counterexample to the 4-move conjecture.