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Le genre de Heegaard de 3-variétés orientables.

Phoebe Hoidn — 1996

Revista Matemática de la Universidad Complutense de Madrid

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.

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