Simplifying triangulations of S^3
Geometric Topology
2007-05-23 v1
Abstract
In this paper we describe a procedure to simplify any given triangulation of the 3-sphere using Pachner moves. We obtain an explicit exponential-type bound on the number of Pachner moves needed for this process. This leads to a new recognition algorithm for the 3-sphere.
Cite
@article{arxiv.math/0008107,
title = {Simplifying triangulations of S^3},
author = {Aleksandar Mijatovic},
journal= {arXiv preprint arXiv:math/0008107},
year = {2007}
}
Comments
27 pages, 18 figures