34 citations · 212 across the 23 of their papers we have counts for
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math.GT2014★ 34 cited
Geometrically and diagrammatically maximal knots
Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell
The ratio of volume to crossing number of a hyperbolic knot is known to be bounded above by the volume of a regular ideal octahedron, and a similar bound is conjectured for the kno…
math.GT2014★ 1 cited
A survey on the Turaev genus of knots
Abhijit Champanerkar, Ilya Kofman
The Turaev genus of a knot is a topological measure of how far a given knot is from being alternating. Recent work by several authors has focused attention on this interesting inva…