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Simplicial structures of knot complements
Aleksandar Mijatovic
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 s…
Triangulations of fibre-free Haken 3-manifolds
Aleksandar Mijatovic
It is not known whether there exists a computable function bounding the number of Pachner moves needed to connect any two triangulation of a compact 3-manifold. In this paper we fi…
Triangulations of Seifert Fibred Manifolds
Aleksandar Mijatovic
It is not completely unreasonable to expect that a computable function bounding the number of Pachner moves needed to change any triangulation of a given 3-manifold into any other…
Simplifying triangulations of S^3
Aleksandar Mijatovic
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…