We define a family of balanced presentations of groups and prove that they correspond to spines of some Seifert fibered 3-manifolds. These presentations of groups (and manifolds) generalize in a natural way many classes of presentations of groups (and manifolds) previously studied by several authors. Moreover, we construct crystallizations representing the small Seifert manifolds of the considered class.
On spines of Seifert fibered manifolds / Ruini, Beatrice; Spaggiari, Fulvia; A., Vesnin. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 65:(2003), pp. 40-60. [10.1007/s000100300003]
On spines of Seifert fibered manifolds
RUINI, Beatrice;SPAGGIARI, Fulvia;
2003
Abstract
We define a family of balanced presentations of groups and prove that they correspond to spines of some Seifert fibered 3-manifolds. These presentations of groups (and manifolds) generalize in a natural way many classes of presentations of groups (and manifolds) previously studied by several authors. Moreover, we construct crystallizations representing the small Seifert manifolds of the considered class.
Pubblicazioni consigliate
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
