Full paper in PDF:
$%P. Hoidn, Le genre de Heegaard de 3-variétés orientables9 , Rev. Mat. Univ. Complut. Madrid 9(1996), no. 2, 351358.%$

Le genre de Heegaard de 3-variétés orientables
Phoebe HOIDN
Département de Mathématiques
Ecole Polytechnique Fédérale de Lausanne
1015 Lausanne Suisse

Received: July 21, 1995
 
ABSTRACT

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.

1991 Mathematics Subject Classification: 57N10.