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/