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A lifting defect for oriented $t_3$ and $\bar t_6$ moves
We study oriented $t_3$- and $\bar t_6$-moves through the problem of lifting Fox $3$-colorings to colorings by a nine-element Alexander quandle. We define a nonnegative integer lifting defect $δ$ for oriented links and prove that it is invariant under these moves. For knots, the defect equals the ra
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