2-BRIDGE NUMBERS OF TORUS KNOTS

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  • HIROSHI MATSUDA
    Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan

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<jats:p> The 2-bridge number of knots was introduced by Hass, Rubinstein and Thompson [Knots and k-width, Geom. Dedicata143 (2009) 7–18] as a natural generalization of the bridge number introduced by Schubert [Über eine numerisch knoteninvariante, Math. Z.61 (1954) 245–288]. We show that the 2-bridge number of a torus knot of type (p, q) is (p - 1)q + 2 if 1 < p < q. </jats:p>

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