Characterization of non-alternating Montesinos BB knots
Characterization of non-alternating Montesinos BB knots
A Montesinos knot is a knot in the Montesinos class, and a BB knot is a knot whose bridge index equals its braid index. The source refers to the non-alternating Montesinos knots described in its Theorem and Corollary. Characterization conjecture. Those described non-alternating Montesinos knots are the only non-alternating Montesinos knots that are BB knots. The claim is stated at the end of the paper as a conjecture; the source gives no evidence of a resolution.
Sources & referencesView supporting material
Primary source
Yuanan Diao, Claus Ernst and Philipp Reiter, “Knots with equal bridge index and braid index”, arXiv:2108.11790 (2021).
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