Geodesic
Meridional almost normal surfaces in knot complements
Wilson, Robin1
1Department of Mathematics and Statistics, California State Polytechnic University, Pomona, 3801 West Temple Ave, Pomona, CA 91768, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1717-1740
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Suppose K is a knot in a closed 3–manifold M such that M − N(K) is irreducible. We show that for any integer n there exists a triangulation of M − N(K) such that any weakly incompressible bridge surface for K of n bridges or fewer is isotopic to an almost normal bridge surface.

DOI : 10.2140/agt.2008.8.1717
Keywords: normal surface, Heegaard surface, bridge position, strongly irreducible, weakly incompressible

Wilson, Robin  1

1 Department of Mathematics and Statistics, California State Polytechnic University, Pomona, 3801 West Temple Ave, Pomona, CA 91768, USA 
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Wilson, Robin. Meridional almost normal surfaces in knot complements. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1717-1740. doi: 10.2140/agt.2008.8.1717

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