Hyperbolic convex cores and simplicial volume

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dc.creatorStorm, Peter A.
dc.date2004-09-17
dc.date2009-03-09
dc.date.accessioned2026-07-07T12:50:04Z
dc.date.available2026-07-07T12:50:04Z
dc.descriptionThis paper investigates the relationship between the topology of hyperbolizable 3-manifolds M with incompressible boundary and the volume of hyperbolic convex cores homotopy equivalent to M. Specifically, it proves a conjecture of Bonahon stating that the volume of a convex core is at least half the simplicial volume of the doubled manifold DM, and this inequality is sharp. This paper proves that the inequality is in fact sharp in every pleating variety of AH(M).
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0409312
dc.identifierhttp://arxiv.org/abs/math/0409312
dc.identifierDuke Math. J. 140 (2007), no. 2, 281--319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222578
dc.subjectGeometric Topology
dc.subject53C25; 57N10
dc.titleHyperbolic convex cores and simplicial volume
dc.typetext

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