It is known that every closed orientable 3-manifold can be represented by coloured knots, edge-coloured graphs or transitive permutation pairs. The present paper describes some relations between these representation theories: in particular, it is shown how to obtain a transitive permutation pair representing a 3-manifold M, starting from a coloured knot representing M.
Coloured knots and permutations representing 3-manifolds / Grasselli, Luigi. - In: MATHEMATICA PANNONICA. - ISSN 0865-2090. - STAMPA. - 7/2:(1996), pp. 177-183.
Coloured knots and permutations representing 3-manifolds
GRASSELLI, Luigi
1996
Abstract
It is known that every closed orientable 3-manifold can be represented by coloured knots, edge-coloured graphs or transitive permutation pairs. The present paper describes some relations between these representation theories: in particular, it is shown how to obtain a transitive permutation pair representing a 3-manifold M, starting from a coloured knot representing M.
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