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arXiv · 0709.3534

Meridional Almost Normal Surfaces in Knot Complements

Robin T. Wilson
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Abstract

Suppose $K$ is a knot in a closed 3-manifold $M$ such that $\bar{M-N(K)}$ is irreducible. We show that for any positive integer $b$ there exists a triangulation of $\bar{M-N(K)}$ such that any weakly incompressible bridge surface for $K$ of $b$ bridges or fewer is isotopic to an almost normal bridge surface.

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Robin T. Wilson. 2007-10-06. Meridional Almost Normal Surfaces in Knot Complements. https://doi.org/10.2140/agt.2008.8.1717

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