Universal circles for quasigeodesic flows

dc.creatorCalegari, Danny
dc.date2004-06-02
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:06:58Z
dc.date.available2026-07-07T13:06:58Z
dc.descriptionWe show that if M is a hyperbolic 3-manifold which admits a quasigeodesic flow, then pi_1(M) acts faithfully on a universal circle by homeomorphisms, and preserves a pair of invariant laminations of this circle. As a corollary, we show that the Thurston norm can be characterized by quasigeodesic flows, thereby generalizing a theorem of Mosher, and we give the first example of a closed hyperbolic 3-manifold without a quasigeodesic flow, answering a long-standing question of Thurston.
dc.descriptionThis is the version published by Geometry & Topology on 29 November 2006. V4: typsetting corrections
dc.identifierhttps://arxiv.org/abs/math/0406040
dc.identifierhttp://arxiv.org/abs/math/0406040
dc.identifierGeom. Topol. 10 (2006) 2271-2298
dc.identifierdoi:10.2140/gt.2006.10.2271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227951
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57R30, 37C10, 37D40, 53C23, 57M50
dc.titleUniversal circles for quasigeodesic flows
dc.typetext

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