Comptes Rendus
no. 2
Topology
On the degrees of branched coverings over links
[Sur les degrés des revêtements ramifiés le long d'entrelacs]
Étienne Ghys
António M. Salgueiro1, 2
1Departamento de Matemática da Universidade de Coimbra, Largo D. Dinis, 3000 Coimbra, Portugal
2Laboratoire Émile Picard, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France
Comptes Rendus. Mathématique, Volume 336 (2003) no. 2, pp. 169-174

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→(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→(M',L) est déterminé par les types topologiques de M et (M′,L).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)00023-7

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 
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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