Lower Bounds on Boundary Slope Diameters for Montesinos Knots

Ichihara, Kazuhiro;Mizushima, Shigeru

  • 투고 : 2008.04.01
  • 심사 : 2008.07.01
  • 발행 : 2009.06.30


In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.


boundary slopes;diameter;Montesinos knot


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피인용 문헌

  1. Pairs of boundary slopes with small differences vol.20, pp.2, 2014,