Boundary slopes and the numbers of positive/negative crossings for Montesinos knots

Details Boundary slopes and the numbers of positive/negative crossings for Montesinos knots Boundary slopes and the numbers of positive/negative crossings for Montesinos knots

2008-09-25

arxiv.org/abs/0809.4435v2

Mathematics

Geometric Topology

15 pages, 11 figures

Scientific paper

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.

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