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BOUNDARY SLOPES AND THE NUMBERS OF POSITIVE/NEGATIVE CROSSINGS FOR MONTESINOS KNOTS

By Kazuhiro Ichihara and Shigeru Mizushima

Abstract

Abstract. We show that a finite numerical boundary slope of an essential surface in the exterior of a Montesinos knot is bounded above and below in terms of the numbers of positive/negative crossings of a specific minimal diagram of the knot. 1

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