We consider irreducible, closed, oriented, connected 3-manifolds with a nontrivial fundamental group, and link Heegaard genus to fundamental domains. We shall show that the Heegaard genus is the least positive integer h(M) for which the manifold has a fundamental domain with 2·h(M) faces.
@article{urn:eudml:doc:44229, title = {Le genre de Heegaard de 3-vari\'et\'es orientables.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {9}, year = {1996}, pages = {351-358}, zbl = {0876.57026}, mrnumber = {MR1430783}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44229} }
Hoidn, Phoebe. Le genre de Heegaard de 3-variétés orientables.. Revista Matemática de la Universidad Complutense de Madrid, Tome 9 (1996) pp. 351-358. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44229/