Triangulated cores of punctured-torus groups

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dc.creatorGueritaud, Francois
dc.date2006-05-17
dc.date.accessioned2026-07-07T07:14:21Z
dc.date.available2026-07-07T07:14:21Z
dc.descriptionWe show that the interior of the convex core of a quasifuchsian punctured-torus group admits an ideal decomposition (usually an infinite triangulation) which is canonical in two different senses: in a combinatorial sense via the pleating invariants, and in a geometric sense via an Epstein-Penner convex hull construction in Minkowski space. The result extends to certain non-quasifuchsian punctured-torus groups, and in fact to all of them if a strong version of the Pleating Lamination Conjecture is true.
dc.description38 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/math/0605481
dc.identifierhttp://arxiv.org/abs/math/0605481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112839
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject51F99 ; 51H20 ; 52B99 ; 57M50 ; 57M60
dc.titleTriangulated cores of punctured-torus groups
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