In his paper "Tetrahedron manifolds and space forms", E. Molnar describes an infinite class of 3-manifolds (depending on two natural integers m, n) by means of suitable face identifications on a tetrahedron. These manifolds can be represented by edge-coloured graphs. By making use of these combinatorial techniques, it is easy to show that they are 2-fold coverings of the 3-sphere, branched over suitable links. This immediately leads to the classification of these manifolds in terms of Seifert fibered spaces.
Tetrahedron manifolds via coloured graphs / Grasselli, Luigi; S., Piccarreta. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 182:(1998), pp. 125-137.
Tetrahedron manifolds via coloured graphs
GRASSELLI, Luigi;
1998
Abstract
In his paper "Tetrahedron manifolds and space forms", E. Molnar describes an infinite class of 3-manifolds (depending on two natural integers m, n) by means of suitable face identifications on a tetrahedron. These manifolds can be represented by edge-coloured graphs. By making use of these combinatorial techniques, it is easy to show that they are 2-fold coverings of the 3-sphere, branched over suitable links. This immediately leads to the classification of these manifolds in terms of Seifert fibered spaces.Pubblicazioni consigliate
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