The size of triangulations supporting a given link

Simon A King

doi:10.2140/gt.2001.5.369

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Home > Journals > Geom. Topol. > Volume 5 > Issue 1 > Article

2001 The size of triangulations supporting a given link

Simon A King

Geom. Topol. 5(1): 369-398 (2001). DOI: 10.2140/gt.2001.5.369

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Abstract

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.