52 citations · 261 across the 25 of their papers we have counts for
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math.GT2015★ 2 cited
Density spectra for knots
Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell
We recently discovered a relationship between the volume density spectrum and the determinant density spectrum for infinite sequences of hyperbolic knots. Here, we extend this stud…
math.GT2015★ 28 cited
Volume bounds for weaving knots
Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell
Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X.-S. Lin to be among the maximum volume knots for fixed crossing number. We pr…