English

The size of triangulations supporting a given link

Geometric Topology 2014-11-11 v3

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.

Keywords

Cite

@article{arxiv.math/0007032,
  title  = {The size of triangulations supporting a given link},
  author = {Simon A King},
  journal= {arXiv preprint arXiv:math/0007032},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper13.abs.html

R2 v1 2026-07-22T16:33:38.547Z