Linear independence of cables in the knot concordance group
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DOI: 10.1090/tran/8336
Abstract: We produce infinite families of knots $\{K^i\}_{i\geq 1}$ for which the set of cables $\{K^i_{p,1}\}_{i,p\geq 1}$ is linearly independent in the knot concordance group. We arrange that these examples lie arbitrarily deep in the solvable… read more here.
Keywords: concordance; smoothly slice; slice knots; knot concordance ... See more keywords