2003/02/22 by David Bachman, Bachman, David
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/0302272
10 pages, 4 figures. Revised version
arxiv created 2003/04/05 · arxiv updated 2009/11/30
We show that if a knot or link has n thin levels when put in thin position then its exterior contains a collection of n disjoint, non-parallel, planar, meridional, essential surfaces. A corollary is that there are at least n/3 tetrahedra in any triangulation of the complement of such a knot.