We illustrate some topological properties and give surgery descriptions of the cusped hyperbolic orientable 3–manifolds obtained by face pairings of the regular octahedron and the regular cube. Some applications and connections with the work of several authors (quoted in the references) complete the paper.

CUSPED HYPERBOLIC 3-MANIFOLDS FROM SOME REGULAR POLYHEDRA / Cavicchioli, Alberto; Spaggiari, Fulvia; Telloni, Agnese Ilaria. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - STAMPA. - 39:4(2013), pp. 1161-1174.

CUSPED HYPERBOLIC 3-MANIFOLDS FROM SOME REGULAR POLYHEDRA

CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia;TELLONI, Agnese Ilaria
2013

Abstract

We illustrate some topological properties and give surgery descriptions of the cusped hyperbolic orientable 3–manifolds obtained by face pairings of the regular octahedron and the regular cube. Some applications and connections with the work of several authors (quoted in the references) complete the paper.
2013
Inglese
39
4
1161
1174
14
3-manifolds; links; Dehn surgery; regular polyhedra; hyperbolic structure; volume; isometry groups
The main result of the paper is related with the Agol classification of the orientable 2-cusped hyperbolic 3-manifolds of minimum volume. We show that such manifolds are Platonic manifolds.
none
info:eu-repo/semantics/article
Contributo su RIVISTA::Articolo su rivista
262
CUSPED HYPERBOLIC 3-MANIFOLDS FROM SOME REGULAR POLYHEDRA / Cavicchioli, Alberto; Spaggiari, Fulvia; Telloni, Agnese Ilaria. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - STAMPA. - 39:4(2013), pp. 1161-1174.
Cavicchioli, Alberto; Spaggiari, Fulvia; Telloni, Agnese Ilaria
3
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/986104
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