27 citations · 71 across the 21 of their papers we have counts for
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math.GT2018★ 1 cited
Linear independence of cables in the knot concordance group
Christopher W. Davis, JungHwan Park, Arunima Ray
We produce infinite families of knots for which the set of cables is linearly independent in the knot concordance group. We arrange…
math.GT2018★ 4 cited
Topological concordance of knots in homology spheres and the solvable filtration
Christopher W. Davis
In 2016 Levine showed that there exists a knot in a homology 3-sphere which is not smoothly concordant to any knot in the 3-sphere where one allows concordances in any smooth homol…