Minimum-volume hyperbolic 3-manifolds

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dc.creatorMilley, Peter
dc.date2008-09-02
dc.date2008-10-17
dc.date.accessioned2026-07-07T12:51:45Z
dc.date.available2026-07-07T12:51:45Z
dc.descriptionWe enumerate the small-volume manifolds that can be obtained by Dehn filling on Mom-2 and Mom-3 manifolds as defined by Gabai, Meyerhoff, and the author. In so doing we complete the proof that the Weeks manifold is the minimum-volume compact hyperbolic 3-manifold, as well as enumerating the 10 smallest one-cusped hyperbolic 3-manifolds.
dc.description14 pages; updated and added references, provided a stronger argument regarding Vol3 in section 3, incorporated many helpful comments from Craig Hodgson regarding wording and terminology; corrected references
dc.identifierhttps://arxiv.org/abs/0809.0346
dc.identifierhttp://arxiv.org/abs/0809.0346
dc.identifierdoi:10.1112/jtopol/jtp006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223093
dc.subjectGeometric Topology
dc.subject57M50
dc.titleMinimum-volume hyperbolic 3-manifolds
dc.typetext

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