The Thurston boundary of Teichmüller space and complex of curves |
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Authors: | Young Deuk Kim |
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Institution: | School of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea |
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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. |
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Keywords: | 30F60 32G15 57M50 57N05 |
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