Meridional Almost Normal Surfaces in Knot Complements

Details Meridional Almost Normal Surfaces in Knot Complements Meridional Almost Normal Surfaces in Knot Complements

2007-09-21

arxiv.org/abs/0709.3534v2

Mathematics

Geometric Topology

23 pages, 9 figures

Scientific paper

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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