Lower bounds on volumes of hyperbolic Haken 3-manifolds

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dc.creatorAgol, Ian
dc.date1999-06-27
dc.date.accessioned2026-07-07T05:29:40Z
dc.date.available2026-07-07T05:29:40Z
dc.descriptionIn this paper, we find lower bounds for volumes of hyperbolic 3-manifolds with various topological conditions. Let V_3 = 1.01494 denote the volume of a regular ideal simplex in hyperbolic 3-space. As a special case of the main theorem, if a hyperbolic manifold M contains an acylindrical surface S, then Vol(M)>= -2 V_3 chi(S). We also show that if beta_1(M)>= 2, then Vol(M)>= 4/5 V_3.
dc.description20 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/math/9906182
dc.identifierhttp://arxiv.org/abs/math/9906182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78730
dc.subjectGeometric Topology
dc.subject57M50
dc.titleLower bounds on volumes of hyperbolic Haken 3-manifolds
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