%0 Journal Article
%T Simplicial structures of knot complements
%A Aleksandar Mijatovic
%J Mathematics
%D 2003
%I arXiv
%X It was recently shown that there exists an explicit bound for the number of Pachner moves needed to connect any two triangulation of any Haken 3-manifold which contains no fibred sub-manifolds as strongly simple pieces of its JSJ-decomposition. In this paper we prove a generalisation of that result to all knot complements. The explicit formula for the bound is in terms of the numbers of tetrahedra in the two triangulations. This gives a conceptually trivial algorithm for recognising any knot complement among all 3-manifolds.
%U http://arxiv.org/abs/math/0306117v1