Geodesic
Homeomorphisms on the Solid Double Torus
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 797-804

Voir la notice de l'article provenant de la source Cambridge University Press

A finite set of generators for the isotopy classes of selfhomeomorphisms of closed surfaces was given by Lickorish in three papers [2; 3; 4]. In [5] the group of isotopy classes for a particular, well-known cube with holes was presented. There the structure was “tight” enough to allow the computation of the relators as well as the generators. In this paper we give a finite set of generators for the group of isotopy classes of self-homeomorphisms on the solid double torus, the cube with two handles. Let us remark that the group of isotopy classes for the solid torus is well-known. 
Myers, Donald. Homeomorphisms on the Solid Double Torus. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 797-804. doi: 10.4153/CJM-1975-087-9
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