By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
@article{urn:eudml:doc:44193, title = {Heegaard and regular genus of 3-manifolds with boundary.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {8}, year = {1995}, pages = {379-398}, zbl = {0869.57026}, mrnumber = {MR1367937}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44193} }
Cristofori, P.; Gagliardi, C.; Grasselli, L. Heegaard and regular genus of 3-manifolds with boundary.. Revista Matemática de la Universidad Complutense de Madrid, Tome 8 (1995) pp. 379-398. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44193/