Stoimenow's unknotting-number conjecture for positive fibered knots
Stoimenow's unknotting-number conjecture for positive fibered knots
Let be a positive fibered knot. Its unknotting number is denoted by , and its 3-genus by . Stoimenow's conjecture.
The conjecture extends the equality known for braid-positive knots. The paper disproves the conjecture by exhibiting a positive fibered knot whose unknotting number exceeds its genus.
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Primary source
Marc Kegel, Lukas Lewark, Naageswaran Manikandan, Filip Misev, Leo Mousseau and Marithania Silvero, “On unknotting fibered positive knots and braids”, arXiv:2312.07339 (2024).
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