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.
1998
39
221
235
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.
Cristofori, Paola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/583973
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