The work is devoted to extend to dimension five the following combinatorial characterization of (orientable and non-orientable) handlebodies, already proved for dimensions three and four by the same author: a compact connected 5-manifold $M^5$ is a handlebody (of genus g) iff $ G(M^5)= G(\partial M^5} (=g)$, $G(X) being the regular genus of the manifold X. Moreover, partial results in dimension n induce to conjecture that an analogous characterization also holds for handlebodies of arbitrary dimension.

A note on the characterization of handlebodies / Casali, Maria Rita. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - STAMPA. - 14:(1993), pp. 301-310. [10.1006/eujc.1993.1033]

A note on the characterization of handlebodies

CASALI, Maria Rita
1993

Abstract

The work is devoted to extend to dimension five the following combinatorial characterization of (orientable and non-orientable) handlebodies, already proved for dimensions three and four by the same author: a compact connected 5-manifold $M^5$ is a handlebody (of genus g) iff $ G(M^5)= G(\partial M^5} (=g)$, $G(X) being the regular genus of the manifold X. Moreover, partial results in dimension n induce to conjecture that an analogous characterization also holds for handlebodies of arbitrary dimension.
1993
14
301
310
A note on the characterization of handlebodies / Casali, Maria Rita. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - STAMPA. - 14:(1993), pp. 301-310. [10.1006/eujc.1993.1033]
Casali, Maria Rita
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/306847
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact