TORUS BUNDLE: A program to construct edge-coloured graphs representing torus bundles over the circle.

TORUS BUNDLE is based on an algorithmic construction of edge-coloured graphs representing 3-manifolds, which are torus bundles over S^1 (see [M.R.Casali, Representing and recognizing torus bundles over S^1, Boletín de la Sociedad Matemática Mexicana, 10(3) (2005), 89-106]). The algorithm starts from a regular integer matrix A which describes the monodromy and contains at least one zero element. This program has allowed the topological recognition of all torus bundles among the 3-manifolds represented by the existing crystallization catalogues C^28 and ~C^26. Note that TORUS BUNDLE is actually independent from DUKE III, but related to it: it supplies - as output - the code of an edge-coloured graph which can be successively inserted in DUKE III in order to be analyzed and simplified, for recognition of the represented manifold....