Within geometric topology of 3-manifolds (with or withoutboundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called "dipole moves". Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.

An equivalence criterion for 3-manifolds / Casali, Maria Rita. - In: REVISTA MATEMÁTICA DE LA UNIVERSIDAD COMPLUTENSE DE MADRID. - ISSN 0214-3577. - STAMPA. - 10:(1997), pp. 129-147.

An equivalence criterion for 3-manifolds

CASALI, Maria Rita
1997

Abstract

Within geometric topology of 3-manifolds (with or withoutboundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called "dipole moves". Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
10
129
147
An equivalence criterion for 3-manifolds / Casali, Maria Rita. - In: REVISTA MATEMÁTICA DE LA UNIVERSIDAD COMPLUTENSE DE MADRID. - ISSN 0214-3577. - STAMPA. - 10:(1997), pp. 129-147.
Casali, Maria Rita
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/450756
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