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Obstructing two-torsion in the rational knot concordance group

Obstructing two-torsion in the rational knot concordance group

It is well known that there are many 2-torsion elements in the classical knot concordance group. On the other hand, it is not known if there is any torsion element in the rational knot concordance group $\mathcal{C}_\mathbb{Q}$. Cha defined the algebraic rational concordance group $\mathcal{AC}_\mathbb{Q}$, an analogue of the classical …