Simplicial structures of knot complements

dc.creatorMijatovic, Aleksandar
dc.date2003-06-06
dc.date.accessioned2026-07-07T04:58:38Z
dc.date.available2026-07-07T04:58:38Z
dc.descriptionIt 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.
dc.description14 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0306117
dc.identifierhttp://arxiv.org/abs/math/0306117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67719
dc.subjectGeometric Topology
dc.subject57M25; 57Q15
dc.titleSimplicial structures of knot complements
dc.typetext

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