We derive topological and geometrical properties of cusped connected orientable 3-manifolds obtained by face pairings of the nonregular cube, which are reducible to two-generator fundamental groups. Besides the polyhedral schemata, we derive geometric presentations of the fundamental group, which correspond to spines of the manifolds. Then, we provide simple surgery descriptions of the considered cube manifolds
Surgery presentations of cube manifolds reducible to two generators / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: PUBLICATIONES MATHEMATICAE. - ISSN 0033-3883. - 106:1-2(2025), pp. 29-52. [10.5486/PMD.2025.9728]
Surgery presentations of cube manifolds reducible to two generators
Alberto Cavicchioli;Fulvia Spaggiari
2025
Abstract
We derive topological and geometrical properties of cusped connected orientable 3-manifolds obtained by face pairings of the nonregular cube, which are reducible to two-generator fundamental groups. Besides the polyhedral schemata, we derive geometric presentations of the fundamental group, which correspond to spines of the manifolds. Then, we provide simple surgery descriptions of the considered cube manifolds
| File | Dimensione | Formato | |
|---|---|---|---|
|
9728-Cavicchioli-Spaggiari (1).pdf
Accesso riservato
Tipologia:
VOR - Versione pubblicata dall'editore
Dimensione
676.1 kB
Formato
Adobe PDF
|
676.1 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
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
