Weil-Petersson translation distance and volumes of mapping tori

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dc.creatorBrock, Jeffrey F.
dc.date2001-09-07
dc.date.accessioned2026-07-07T04:43:18Z
dc.date.available2026-07-07T04:43:18Z
dc.descriptionGiven a closed hyperbolic 3-manifold T_ψthat fibers over the circle with monodromy ψ: S -> S, the monodromy $ψ$ determines an isometry of Teichmuller space with its Weil-Petersson metric whose translation distance ||ψ||_WP is positive. We show there is a constant K >= 1 depending only on the topology of S so that the volume of T_ψsatisfies ||ψ||_WP/K <= vol(T_ψ) <= K ||ψ||_WP.
dc.description10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0109050
dc.identifierhttp://arxiv.org/abs/math/0109050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62160
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleWeil-Petersson translation distance and volumes of mapping tori
dc.typetext

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