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Fibonacci numbers and the “fibered” Bleiler conjecture. (English) Zbl 0970.57003

The author proves that a fibered 2-bridge knot of unknotting number 1 realizes its unknotting number in the diagram of all Conway coefficients even. For related work see K. Taniyama [Math. Ann. 291, No. 4, 579-590 (1991; Zbl 0726.57009)], T. Kanenobu and H. Murakami [Proc. Am. Math. Soc. 98, 499-502 (1986; Zbl 0613.57002)].

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
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