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The Thurston boundary of Teichmüller space and complex of curves
Authors:Young Deuk Kim
Institution:School of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea
Abstract:Let S be a closed orientable surface with genus g?2. For a sequence σi in the Teichmüller space of S, which converges to a projective measured lamination λ] in the Thurston boundary, we obtain a relation between λ 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.
Keywords:30F60  32G15  57M50  57N05
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