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.
1998
182
125
137
Tetrahedron manifolds via coloured graphs / Grasselli, Luigi; S., Piccarreta. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 182:(1998), pp. 125-137.
Grasselli, Luigi; S., Piccarreta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/453530
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