27 citations · 71 across the 21 of their papers we have counts for
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math.GT2013★ 15 cited
Satellite operators as group actions on knot concordance
Christopher W. Davis, Arunima Ray
Any knot in a solid torus, called a pattern or satellite operator, acts on knots in the 3-sphere via the satellite construction. We introduce a generalization of satellite operator…
math.GT2013★ 2 cited
Counterexamples to Kauffman's Conjectures on Slice Knots
Tim D. Cochran, Christopher William Davis
In 1982 Louis Kauffman conjectured that if a knot in the 3-sphere is a slice knot then on any Seifert surface for that knot there exists a homologically essential simple closed cur…