The Thurston boundary of Teichmuller space and complex of curves

Details The Thurston boundary of Teichmuller space and complex of curves The Thurston boundary of Teichmuller space and complex of curves

2005-06-02

arxiv.org/abs/math/0506031v1

Topology and its Applications 154(2007) no.3, 675-682.

Mathematics

Geometric Topology

30 pages, 12 figures

Scientific paper

Let $S$ be a closed orientable surface with genus $g\geq 2$. For a sequence $\s_i$ in the Teichm\"uller 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.

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