Triangulations of fibre-free Haken 3-manifolds

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dc.creatorMijatovic, Aleksandar
dc.date2003-06-06
dc.date.accessioned2026-07-07T04:58:38Z
dc.date.available2026-07-07T04:58:38Z
dc.descriptionIt 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 find an explicit bound of this kind for all Haken 3-manifolds which contain no fibred submanifolds as strongly simple pieces of their JSJ-decomposition. The explicit formula for the bound is in terms of the number of tetrahedra in the two triangulations. This implies a conceptually trivial algorithm for recognising any non-fibred knot complement among all 3-manifolds.
dc.description30 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0306116
dc.identifierhttp://arxiv.org/abs/math/0306116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67718
dc.subjectGeometric Topology
dc.subject57M99; 57Q15; 57N10
dc.titleTriangulations of fibre-free Haken 3-manifolds
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