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
2025
106
1-2
29
52
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]
Cavicchioli, Alberto; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1371368
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