328 citations · 682 across the 29 of their papers we have counts for
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math.GT2019
A Gordian Pair of Links
Rob Kusner, Wöden Kusner
We construct a pair of isotopic link configurations that are not thick isotopic while preserving total length.
math.GT2002★ 20 cited
The Second Hull of a Knotted Curve
Jason Cantarella, Greg Kuperberg, Rob Kusner +1
The convex hull of a set K in space consists of points which are, in a certain sense, "surrounded" by K. When K is a closed curve, we define its higher hulls, consisting of points…
math.GT2001★ 201 cited
On the Minimum Ropelength of Knots and Links
Jason Cantarella, Rob Kusner, John M Sullivan
The ropelength of a knot is the quotient of its length and its thickness, the radius of the largest embedded normal tube around the knot. We prove existence and regularity for rope…