Volume monotonicity under crossing changes for alternating hyperbolic links
Let be an alternating hyperbolic knot or link, and let be obtained by changing any proper subset of crossings of .
Volume monotonicity conjecture.
This conjecture predicts that changing any proper subset of crossings strictly decreases hyperbolic volume. The source presents the claim as a broader conjecture of which the weaving-knot volume bound is a special case and test; its resolution is not indicated here.
References
Primary source
Abhijit Champanerkar, Ilya Kofman and Jessica S. Purcell, “Volume bounds for weaving knots”, arXiv:1506.04139 (2016).
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