Montesinos-versus-pretzel characterization of m-stair-step bridge spectra
Montesinos-versus-pretzel characterization of m-stair-step bridge spectra
Let be a Montesinos knot, and let be an -cable of . The bridge spectrum of is the Montesinos–pretzel bridge-spectrum conjecture. -stair-step if and only if is not a pretzel knot. The conjecture is motivated by the absence of degeneration for 2-bridge knots and by the observed distinction between pretzel and non-pretzel Montesinos knots. The source says there is less direct evidence for this claim, so its status remains open.
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Primary source
Nicholas Owad, “Bridge spectra of cables of 2-bridge knots”, arXiv:1706.03653 (2017).
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