55 citations · 242 across the 28 of their papers we have counts for
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math.GT2010
Properties of knots preserved by cabling
Alexander Zupan
We examine geometric properties of a knot J that are unchanged by taking a (p,q)-cable K of J. Specifically, we relate w(K) to w(J), where w(K) is the width of K in the sense of Ga…
math.GT2010★ 6 cited
Unexpected local minima in the width complexes for knots
Alexander Zupan
In "Width complexes for knots and 3-manifolds," Jennifer Schultens defines the width complex for a knot in order to understand the different positions a knot can occupy in the 3-sp…
math.GT2010★ 10 cited
A lower bound on the width of satellite knots
Alexander Zupan
Thin position for knots in the 3-sphere was introduced by Gabai and has been used in a variety of contexts. We conjecture an analogue to a theorem of Schubert and Schultens concern…