The Heegaard genus and the regular genus are two invariants for 3-manifolds, which, as it is already known, coincide for orientable3-manifolds with boundary. It is also known that the regular genus of a non-orientable closed 3-manifold is simply twice its Heegaard genus.In this paper we prove that the same relations hold in the general case of compact 3-manifolds.
Heegaard and regular genus agree for compact 3-manifolds / Cristofori, Paola. - In: CAHIERS DE TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES. - ISSN 1245-530X. - STAMPA. - 39:(1998), pp. 221-235.
Heegaard and regular genus agree for compact 3-manifolds
CRISTOFORI, Paola
1998
Abstract
The Heegaard genus and the regular genus are two invariants for 3-manifolds, which, as it is already known, coincide for orientable3-manifolds with boundary. It is also known that the regular genus of a non-orientable closed 3-manifold is simply twice its Heegaard genus.In this paper we prove that the same relations hold in the general case of compact 3-manifolds.
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