Murakami–Przytycki's unknotting-number conjecture for positive fibered knots
Murakami–Przytycki's unknotting-number conjecture for positive fibered knots
Let be a positive fibered knot, let denote its unknotting number, and let denote its Seifert genus.
Murakami–Przytycki's conjecture. For every positive fibered knot ,
The conjecture concerns whether the lower bound supplied by positivity is always sharp for positive fibered knots. The source presents it as a further related conjecture and gives no resolution, so it remains open here.
Sources & referencesView supporting material
Primary source
A. Stoimenow, “Positive knots, closed braids and the Jones polynomial”, arXiv:math/9805078 (2001).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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