Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Lower Bounds on Boundary Slope Diameters for Montesinos Knots

  • Ichihara, Kazuhiro (Department of Mathematics Education, Nara University of Education) ;
  • Mizushima, Shigeru (Department of Mathematical and Computing Sciences, Tokyo Institute of Technology)
  • Received : 2008.04.01
  • Accepted : 2008.07.01
  • Published : 2009.06.30
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Abstract

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.

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References

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Cited by

  1. Pairs of boundary slopes with small differences vol.20, pp.2, 2014, https://doi.org/10.1007/s40590-014-0021-y