Lower bounds on boundary slope diameters for Montesinos knots

Details Lower bounds on boundary slope diameters for Montesinos knots Lower bounds on boundary slope diameters for Montesinos knots

2007-03-09

arxiv.org/abs/math/0703252v1

Mathematics

Geometric Topology

24 pages, 6 figures

Scientific paper

In this paper, two lower bounds on the diameters of the boundary slope sets
are given for Montesinos knots. 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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