The Thurston boundary of Teichmuller space and complex of curves
Geometric Topology
2007-05-23 v1
Abstract
Let be a closed orientable surface with genus . For a sequence in the Teichm\"uller space of , which converges to a projective measured lamination in the Thurston boundary, we obtain a relation between and the geometric limit of pants decompositions whose lengths are uniformly bounded by a Bers constant . We also show that this bounded pants decomposition is related to the Gromov boundary of complex of curves.
Keywords
Cite
@article{arxiv.math/0506031,
title = {The Thurston boundary of Teichmuller space and complex of curves},
author = {Young Deuk Kim},
journal= {arXiv preprint arXiv:math/0506031},
year = {2007}
}
Comments
30 pages, 12 figures