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

Présenté par : Étienne Ghys

Salgueiro, António M.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, Tome 336 (2003) no. 2, pp. 169-174.

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).

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).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)00023-7
Salgueiro, António M. 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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Salgueiro, António M. On the degrees of branched coverings over links. Comptes Rendus. Mathématique, Tome 336 (2003) no. 2, pp. 169-174. doi : 10.1016/S1631-073X(02)00023-7. http://www.numdam.org/articles/10.1016/S1631-073X(02)00023-7/

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