The Thurston boundary of Teichmuller space and complex of curves

dc.creatorKim, Young Deuk
dc.date2005-06-02
dc.date.accessioned2026-07-07T07:46:50Z
dc.date.available2026-07-07T07:46:50Z
dc.descriptionLet $S$ be a closed orientable surface with genus $g\geq 2$. For a sequence $\s_i$ in the Teichmüller space of $S$, which converges to a projective measured lamination $[\lam]$ in the Thurston boundary, we obtain a relation between $\lam$ and the geometric limit of pants decompositions whose lengths are uniformly bounded by a Bers constant $L$. We also show that this bounded pants decomposition is related to the Gromov boundary of complex of curves.
dc.description30 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0506031
dc.identifierhttp://arxiv.org/abs/math/0506031
dc.identifierTopology and its Applications 154(2007) no.3, 675-682.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123960
dc.subjectGeometric Topology
dc.subject30F60, 32G15, 57M50, 57N05
dc.titleThe Thurston boundary of Teichmuller space and complex of curves
dc.typetext

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