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 manifoldsFile | Dimensione | Formato | |
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