On the degrees of branched coverings over links

António M. Salgueiro

doi:10.1016/S1631-073X(02)00023-7

Topology

On the degrees of branched coverings over links
[Sur les degrés des revêtements ramifiés le long d'entrelacs]

Présenté par : Étienne Ghys

António M. Salgueiro ^1,²

¹ Departamento de Matemática da Universidade de Coimbra, Largo D. Dinis, 3000 Coimbra, Portugal
² Laboratoire Émile Picard, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France

Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 169-174

Abstract (VO)
Résumé

Let M and M′ be 3-manifolds and L a link in M′. We prove that, under certain conditions, the degree of a branched covering $π : M \to (M', L)$ is determined by the topological types of M and (M′,L).

Soient M et M′ variétés tridimensionnelles et L un entrelacs dans M′. On prouve que, sous certaines conditions, le degré d'un revêtement ramifié $π : M \to (M', L)$ est déterminé par les types topologiques de M et (M′,L).

Reçu le : 2002-11-22
Accepté le : 2002-11-27
Publié le : 2003-01-15

DOI : 10.1016/S1631-073X(02)00023-7

Affiliations des auteurs :

António M. Salgueiro ^{1, 2}

¹ Departamento de Matemática da Universidade de Coimbra, Largo D. Dinis, 3000 Coimbra, Portugal
² Laboratoire Émile Picard, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France

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     title = {On the degrees of branched coverings over links},
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António M. Salgueiro. On the degrees of branched coverings over links. Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 169-174. doi: 10.1016/S1631-073X(02)00023-7

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