The size of triangulations supporting a given link

Details The size of triangulations supporting a given link The size of triangulations supporting a given link

2000-07-06

arxiv.org/abs/math/0007032v3

Geom. Topol. 5(2001) 369-398

Mathematics

Geometric Topology

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

Scientific paper

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.

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