论文标题
结逆转与理性的一致性
Knot reversal and rational concordance
论文作者
论文摘要
我们给出了一个无限的结系列，与它们的逆转无关。更准确地说，如果R表示由弦乐逆转和固定（R）引起的有理结一致性组的QC的相互作用表示固定在QC中R下的结的子组，则QC/FIX（R）包含一个无限的等级亚组。作为推论，我们表明存在一个结k，因此对于每对coprime整数P和Q，k的（p，q）可与k的反向（p，q）相反（p，q）。
We give an infinite family of knots that are not rationally concordant to their reverses. More precisely, if R denotes the involution of the rational knot concordance group QC induced by string reversal and Fix(R) denotes the subgroup of knots fixed under R in QC, then QC/Fix(R) contains an infinite rank subgroup. As a corollary, we show that there exists a knot K such that for every pair of coprime integers p and q, the (p,q)-cable of K is not concordant to the reverse of the (p,q)-cable of K.
