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

2008/09/25 by Kazuhiro Ichihara, Ichihara, Kazuhiro, Shigeru Mizushima +1 · 2 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.0809.4435

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.

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