The Thurston Boundary of Teichmüller Space and Complex of Curves
نویسنده
چکیده
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. 2000 Mathematics Subject Classification ; 30F60, 32G15, 57M50, 57N05.
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