Article ID Journal Published Year Pages File Type
4661522 Topology and its Applications 2007 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology