Volume is bounded by determinant for alternating hyperbolic links
Volume is bounded by determinant for alternating hyperbolic links
Let be an alternating hyperbolic link, let denote its hyperbolic volume, and let denote its determinant. Alternating volume–determinant conjecture.
The inequality had been verified for alternating knots through 16 crossings and for the specified families of weaving knots and links. The source also says the constant is sharp, but the general conjecture remains open.
Sources & referencesView supporting material
Primary source
Abhijit Champanerkar, Ilya Kofman and Jessica S. Purcell, “Density spectra for knots”, arXiv:1506.05841 (2015).
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