The size of triangulations supporting a given link

Simon A King
2001 Geometry and Topology  
Let T be a triangulation of S^3 containing a link L in its 1-skeleton. We give an explicit lower bound for the number of tetrahedra of T in terms of the bridge number of L. Our proof is based on the theory of almost normal surfaces.
doi:10.2140/gt.2001.5.369 fatcat:rygkfbugvffxlfada2f5rkikqu